{
 "schema_version": "0.1",
 "name": "[[264,6,12]] generalized weight-6 planar BB code",
 "code_type": "CSS",
 "n": 264,
 "k": 6,
 "checks": {
  "X": [
   [
    2,
    12,
    25,
    132,
    146,
    157
   ],
   [
    3,
    13,
    26,
    133,
    147,
    158
   ],
   [
    4,
    14,
    27,
    134,
    148,
    159
   ],
   [
    5,
    15,
    28,
    135,
    149,
    160
   ],
   [
    6,
    16,
    29,
    136,
    150,
    161
   ],
   [
    7,
    17,
    30,
    137,
    151,
    162
   ],
   [
    8,
    18,
    31,
    138,
    152,
    163
   ],
   [
    9,
    19,
    32,
    139,
    153,
    164
   ],
   [
    10,
    20,
    33,
    140,
    154,
    165
   ],
   [
    11,
    21,
    34,
    141,
    155,
    166
   ],
   [
    14,
    24,
    37,
    144,
    158,
    169
   ],
   [
    15,
    25,
    38,
    145,
    159,
    170
   ],
   [
    16,
    26,
    39,
    146,
    160,
    171
   ],
   [
    17,
    27,
    40,
    147,
    161,
    172
   ],
   [
    18,
    28,
    41,
    148,
    162,
    173
   ],
   [
    19,
    29,
    42,
    149,
    163,
    174
   ],
   [
    20,
    30,
    43,
    150,
    164,
    175
   ],
   [
    21,
    31,
    44,
    151,
    165,
    176
   ],
   [
    22,
    32,
    45,
    152,
    166,
    177
   ],
   [
    23,
    33,
    46,
    153,
    167,
    178
   ],
   [
    26,
    36,
    49,
    156,
    170,
    181
   ],
   [
    27,
    37,
    50,
    157,
    171,
    182
   ],
   [
    28,
    38,
    51,
    158,
    172,
    183
   ],
   [
    29,
    39,
    52,
    159,
    173,
    184
   ],
   [
    30,
    40,
    53,
    160,
    174,
    185
   ],
   [
    31,
    41,
    54,
    161,
    175,
    186
   ],
   [
    32,
    42,
    55,
    162,
    176,
    187
   ],
   [
    33,
    43,
    56,
    163,
    177,
    188
   ],
   [
    34,
    44,
    57,
    164,
    178,
    189
   ],
   [
    35,
    45,
    58,
    165,
    179,
    190
   ],
   [
    38,
    48,
    61,
    168,
    182,
    193
   ],
   [
    39,
    49,
    62,
    169,
    183,
    194
   ],
   [
    40,
    50,
    63,
    170,
    184,
    195
   ],
   [
    41,
    51,
    64,
    171,
    185,
    196
   ],
   [
    42,
    52,
    65,
    172,
    186,
    197
   ],
   [
    43,
    53,
    66,
    173,
    187,
    198
   ],
   [
    44,
    54,
    67,
    174,
    188,
    199
   ],
   [
    45,
    55,
    68,
    175,
    189,
    200
   ],
   [
    46,
    56,
    69,
    176,
    190,
    201
   ],
   [
    47,
    57,
    70,
    177,
    191,
    202
   ],
   [
    50,
    60,
    73,
    180,
    194,
    205
   ],
   [
    51,
    61,
    74,
    181,
    195,
    206
   ],
   [
    52,
    62,
    75,
    182,
    196,
    207
   ],
   [
    53,
    63,
    76,
    183,
    197,
    208
   ],
   [
    54,
    64,
    77,
    184,
    198,
    209
   ],
   [
    55,
    65,
    78,
    185,
    199,
    210
   ],
   [
    56,
    66,
    79,
    186,
    200,
    211
   ],
   [
    57,
    67,
    80,
    187,
    201,
    212
   ],
   [
    58,
    68,
    81,
    188,
    202,
    213
   ],
   [
    59,
    69,
    82,
    189,
    203,
    214
   ],
   [
    62,
    72,
    85,
    192,
    206,
    217
   ],
   [
    63,
    73,
    86,
    193,
    207,
    218
   ],
   [
    64,
    74,
    87,
    194,
    208,
    219
   ],
   [
    65,
    75,
    88,
    195,
    209,
    220
   ],
   [
    66,
    76,
    89,
    196,
    210,
    221
   ],
   [
    67,
    77,
    90,
    197,
    211,
    222
   ],
   [
    68,
    78,
    91,
    198,
    212,
    223
   ],
   [
    69,
    79,
    92,
    199,
    213,
    224
   ],
   [
    70,
    80,
    93,
    200,
    214,
    225
   ],
   [
    71,
    81,
    94,
    201,
    215,
    226
   ],
   [
    74,
    84,
    97,
    204,
    218,
    229
   ],
   [
    75,
    85,
    98,
    205,
    219,
    230
   ],
   [
    76,
    86,
    99,
    206,
    220,
    231
   ],
   [
    77,
    87,
    100,
    207,
    221,
    232
   ],
   [
    78,
    88,
    101,
    208,
    222,
    233
   ],
   [
    79,
    89,
    102,
    209,
    223,
    234
   ],
   [
    80,
    90,
    103,
    210,
    224,
    235
   ],
   [
    81,
    91,
    104,
    211,
    225,
    236
   ],
   [
    82,
    92,
    105,
    212,
    226,
    237
   ],
   [
    83,
    93,
    106,
    213,
    227,
    238
   ],
   [
    86,
    96,
    109,
    216,
    230,
    241
   ],
   [
    87,
    97,
    110,
    217,
    231,
    242
   ],
   [
    88,
    98,
    111,
    218,
    232,
    243
   ],
   [
    89,
    99,
    112,
    219,
    233,
    244
   ],
   [
    90,
    100,
    113,
    220,
    234,
    245
   ],
   [
    91,
    101,
    114,
    221,
    235,
    246
   ],
   [
    92,
    102,
    115,
    222,
    236,
    247
   ],
   [
    93,
    103,
    116,
    223,
    237,
    248
   ],
   [
    94,
    104,
    117,
    224,
    238,
    249
   ],
   [
    95,
    105,
    118,
    225,
    239,
    250
   ],
   [
    98,
    108,
    121,
    228,
    242,
    253
   ],
   [
    99,
    109,
    122,
    229,
    243,
    254
   ],
   [
    100,
    110,
    123,
    230,
    244,
    255
   ],
   [
    101,
    111,
    124,
    231,
    245,
    256
   ],
   [
    102,
    112,
    125,
    232,
    246,
    257
   ],
   [
    103,
    113,
    126,
    233,
    247,
    258
   ],
   [
    104,
    114,
    127,
    234,
    248,
    259
   ],
   [
    105,
    115,
    128,
    235,
    249,
    260
   ],
   [
    106,
    116,
    129,
    236,
    250,
    261
   ],
   [
    107,
    117,
    130,
    237,
    251,
    262
   ],
   [
    0,
    132
   ],
   [
    1,
    133
   ],
   [
    2,
    134
   ],
   [
    3,
    135
   ],
   [
    4,
    136
   ],
   [
    5,
    137
   ],
   [
    6,
    138
   ],
   [
    7,
    139
   ],
   [
    8,
    140
   ],
   [
    9,
    141
   ],
   [
    10,
    142
   ],
   [
    11,
    143
   ],
   [
    122,
    252
   ],
   [
    123,
    253
   ],
   [
    124,
    254
   ],
   [
    125,
    255
   ],
   [
    126,
    256
   ],
   [
    127,
    257
   ],
   [
    128,
    258
   ],
   [
    129,
    259
   ],
   [
    130,
    260
   ],
   [
    131,
    261
   ],
   [
    13,
    132,
    134,
    145
   ],
   [
    14,
    133,
    135,
    146
   ],
   [
    15,
    134,
    136,
    147
   ],
   [
    16,
    135,
    137,
    148
   ],
   [
    17,
    136,
    138,
    149
   ],
   [
    18,
    137,
    139,
    150
   ],
   [
    19,
    138,
    140,
    151
   ],
   [
    20,
    139,
    141,
    152
   ],
   [
    21,
    140,
    142,
    153
   ],
   [
    22,
    141,
    143,
    154
   ],
   [
    112,
    242,
    252,
    256
   ],
   [
    113,
    243,
    253,
    257
   ],
   [
    114,
    244,
    254,
    258
   ],
   [
    115,
    245,
    255,
    259
   ],
   [
    116,
    246,
    256,
    260
   ],
   [
    117,
    247,
    257,
    261
   ],
   [
    118,
    248,
    258,
    262
   ],
   [
    119,
    249,
    259,
    263
   ],
   [
    110,
    120,
    240,
    254
   ],
   [
    111,
    121,
    241,
    255
   ],
   [
    112,
    122,
    242,
    256
   ],
   [
    113,
    123,
    243,
    257
   ],
   [
    114,
    124,
    244,
    258
   ],
   [
    115,
    125,
    245,
    259
   ],
   [
    116,
    126,
    246,
    260
   ],
   [
    117,
    127,
    247,
    261
   ],
   [
    118,
    128,
    248,
    262
   ],
   [
    119,
    129,
    249,
    263
   ]
  ],
  "Z": [
   [
    1,
    12,
    26,
    133,
    146,
    156
   ],
   [
    2,
    13,
    27,
    134,
    147,
    157
   ],
   [
    3,
    14,
    28,
    135,
    148,
    158
   ],
   [
    4,
    15,
    29,
    136,
    149,
    159
   ],
   [
    5,
    16,
    30,
    137,
    150,
    160
   ],
   [
    6,
    17,
    31,
    138,
    151,
    161
   ],
   [
    7,
    18,
    32,
    139,
    152,
    162
   ],
   [
    8,
    19,
    33,
    140,
    153,
    163
   ],
   [
    9,
    20,
    34,
    141,
    154,
    164
   ],
   [
    10,
    21,
    35,
    142,
    155,
    165
   ],
   [
    13,
    24,
    38,
    145,
    158,
    168
   ],
   [
    14,
    25,
    39,
    146,
    159,
    169
   ],
   [
    15,
    26,
    40,
    147,
    160,
    170
   ],
   [
    16,
    27,
    41,
    148,
    161,
    171
   ],
   [
    17,
    28,
    42,
    149,
    162,
    172
   ],
   [
    18,
    29,
    43,
    150,
    163,
    173
   ],
   [
    19,
    30,
    44,
    151,
    164,
    174
   ],
   [
    20,
    31,
    45,
    152,
    165,
    175
   ],
   [
    21,
    32,
    46,
    153,
    166,
    176
   ],
   [
    22,
    33,
    47,
    154,
    167,
    177
   ],
   [
    25,
    36,
    50,
    157,
    170,
    180
   ],
   [
    26,
    37,
    51,
    158,
    171,
    181
   ],
   [
    27,
    38,
    52,
    159,
    172,
    182
   ],
   [
    28,
    39,
    53,
    160,
    173,
    183
   ],
   [
    29,
    40,
    54,
    161,
    174,
    184
   ],
   [
    30,
    41,
    55,
    162,
    175,
    185
   ],
   [
    31,
    42,
    56,
    163,
    176,
    186
   ],
   [
    32,
    43,
    57,
    164,
    177,
    187
   ],
   [
    33,
    44,
    58,
    165,
    178,
    188
   ],
   [
    34,
    45,
    59,
    166,
    179,
    189
   ],
   [
    37,
    48,
    62,
    169,
    182,
    192
   ],
   [
    38,
    49,
    63,
    170,
    183,
    193
   ],
   [
    39,
    50,
    64,
    171,
    184,
    194
   ],
   [
    40,
    51,
    65,
    172,
    185,
    195
   ],
   [
    41,
    52,
    66,
    173,
    186,
    196
   ],
   [
    42,
    53,
    67,
    174,
    187,
    197
   ],
   [
    43,
    54,
    68,
    175,
    188,
    198
   ],
   [
    44,
    55,
    69,
    176,
    189,
    199
   ],
   [
    45,
    56,
    70,
    177,
    190,
    200
   ],
   [
    46,
    57,
    71,
    178,
    191,
    201
   ],
   [
    49,
    60,
    74,
    181,
    194,
    204
   ],
   [
    50,
    61,
    75,
    182,
    195,
    205
   ],
   [
    51,
    62,
    76,
    183,
    196,
    206
   ],
   [
    52,
    63,
    77,
    184,
    197,
    207
   ],
   [
    53,
    64,
    78,
    185,
    198,
    208
   ],
   [
    54,
    65,
    79,
    186,
    199,
    209
   ],
   [
    55,
    66,
    80,
    187,
    200,
    210
   ],
   [
    56,
    67,
    81,
    188,
    201,
    211
   ],
   [
    57,
    68,
    82,
    189,
    202,
    212
   ],
   [
    58,
    69,
    83,
    190,
    203,
    213
   ],
   [
    61,
    72,
    86,
    193,
    206,
    216
   ],
   [
    62,
    73,
    87,
    194,
    207,
    217
   ],
   [
    63,
    74,
    88,
    195,
    208,
    218
   ],
   [
    64,
    75,
    89,
    196,
    209,
    219
   ],
   [
    65,
    76,
    90,
    197,
    210,
    220
   ],
   [
    66,
    77,
    91,
    198,
    211,
    221
   ],
   [
    67,
    78,
    92,
    199,
    212,
    222
   ],
   [
    68,
    79,
    93,
    200,
    213,
    223
   ],
   [
    69,
    80,
    94,
    201,
    214,
    224
   ],
   [
    70,
    81,
    95,
    202,
    215,
    225
   ],
   [
    73,
    84,
    98,
    205,
    218,
    228
   ],
   [
    74,
    85,
    99,
    206,
    219,
    229
   ],
   [
    75,
    86,
    100,
    207,
    220,
    230
   ],
   [
    76,
    87,
    101,
    208,
    221,
    231
   ],
   [
    77,
    88,
    102,
    209,
    222,
    232
   ],
   [
    78,
    89,
    103,
    210,
    223,
    233
   ],
   [
    79,
    90,
    104,
    211,
    224,
    234
   ],
   [
    80,
    91,
    105,
    212,
    225,
    235
   ],
   [
    81,
    92,
    106,
    213,
    226,
    236
   ],
   [
    82,
    93,
    107,
    214,
    227,
    237
   ],
   [
    85,
    96,
    110,
    217,
    230,
    240
   ],
   [
    86,
    97,
    111,
    218,
    231,
    241
   ],
   [
    87,
    98,
    112,
    219,
    232,
    242
   ],
   [
    88,
    99,
    113,
    220,
    233,
    243
   ],
   [
    89,
    100,
    114,
    221,
    234,
    244
   ],
   [
    90,
    101,
    115,
    222,
    235,
    245
   ],
   [
    91,
    102,
    116,
    223,
    236,
    246
   ],
   [
    92,
    103,
    117,
    224,
    237,
    247
   ],
   [
    93,
    104,
    118,
    225,
    238,
    248
   ],
   [
    94,
    105,
    119,
    226,
    239,
    249
   ],
   [
    97,
    108,
    122,
    229,
    242,
    252
   ],
   [
    98,
    109,
    123,
    230,
    243,
    253
   ],
   [
    99,
    110,
    124,
    231,
    244,
    254
   ],
   [
    100,
    111,
    125,
    232,
    245,
    255
   ],
   [
    101,
    112,
    126,
    233,
    246,
    256
   ],
   [
    102,
    113,
    127,
    234,
    247,
    257
   ],
   [
    103,
    114,
    128,
    235,
    248,
    258
   ],
   [
    104,
    115,
    129,
    236,
    249,
    259
   ],
   [
    105,
    116,
    130,
    237,
    250,
    260
   ],
   [
    106,
    117,
    131,
    238,
    251,
    261
   ],
   [
    24,
    144
   ],
   [
    36,
    156
   ],
   [
    48,
    168
   ],
   [
    60,
    180
   ],
   [
    72,
    192
   ],
   [
    84,
    204
   ],
   [
    96,
    216
   ],
   [
    108,
    228
   ],
   [
    120,
    240
   ],
   [
    23,
    167
   ],
   [
    35,
    179
   ],
   [
    47,
    191
   ],
   [
    59,
    203
   ],
   [
    71,
    215
   ],
   [
    83,
    227
   ],
   [
    95,
    239
   ],
   [
    107,
    251
   ],
   [
    119,
    263
   ],
   [
    49,
    144,
    156,
    169
   ],
   [
    61,
    156,
    168,
    181
   ],
   [
    73,
    168,
    180,
    193
   ],
   [
    85,
    180,
    192,
    205
   ],
   [
    97,
    192,
    204,
    217
   ],
   [
    109,
    204,
    216,
    229
   ],
   [
    121,
    216,
    228,
    241
   ],
   [
    0,
    25,
    132,
    145
   ],
   [
    12,
    37,
    144,
    157
   ],
   [
    24,
    49,
    156,
    169
   ],
   [
    36,
    61,
    168,
    181
   ],
   [
    48,
    73,
    180,
    193
   ],
   [
    60,
    85,
    192,
    205
   ],
   [
    72,
    97,
    204,
    217
   ],
   [
    84,
    109,
    216,
    229
   ],
   [
    96,
    121,
    228,
    241
   ],
   [
    34,
    155,
    167,
    178
   ],
   [
    46,
    167,
    179,
    190
   ],
   [
    58,
    179,
    191,
    202
   ],
   [
    70,
    191,
    203,
    214
   ],
   [
    82,
    203,
    215,
    226
   ],
   [
    94,
    215,
    227,
    238
   ],
   [
    106,
    227,
    239,
    250
   ],
   [
    118,
    239,
    251,
    262
   ],
   [
    11,
    22,
    143,
    166
   ],
   [
    23,
    34,
    155,
    178
   ],
   [
    35,
    46,
    167,
    190
   ],
   [
    47,
    58,
    179,
    202
   ],
   [
    59,
    70,
    191,
    214
   ],
   [
    71,
    82,
    203,
    226
   ],
   [
    83,
    94,
    215,
    238
   ],
   [
    95,
    106,
    227,
    250
   ],
   [
    107,
    118,
    239,
    262
   ]
  ]
 },
 "distance": {
  "d": 12,
  "X": {
   "value": 12,
   "confidence": "exact",
   "witness": [
    18,
    53,
    66,
    77,
    78,
    139,
    173,
    197,
    210,
    222,
    245,
    255
   ]
  },
  "Z": {
   "value": 12,
   "confidence": "exact",
   "witness": [
    84,
    86,
    88,
    90,
    92,
    94,
    216,
    218,
    220,
    222,
    224,
    226
   ]
  }
 },
 "locality": {
  "coordinates": [
   [
    0,
    0
   ],
   [
    0,
    1
   ],
   [
    0,
    2
   ],
   [
    0,
    3
   ],
   [
    0,
    4
   ],
   [
    0,
    5
   ],
   [
    0,
    6
   ],
   [
    0,
    7
   ],
   [
    0,
    8
   ],
   [
    0,
    9
   ],
   [
    0,
    10
   ],
   [
    0,
    11
   ],
   [
    1,
    0
   ],
   [
    1,
    1
   ],
   [
    1,
    2
   ],
   [
    1,
    3
   ],
   [
    1,
    4
   ],
   [
    1,
    5
   ],
   [
    1,
    6
   ],
   [
    1,
    7
   ],
   [
    1,
    8
   ],
   [
    1,
    9
   ],
   [
    1,
    10
   ],
   [
    1,
    11
   ],
   [
    2,
    0
   ],
   [
    2,
    1
   ],
   [
    2,
    2
   ],
   [
    2,
    3
   ],
   [
    2,
    4
   ],
   [
    2,
    5
   ],
   [
    2,
    6
   ],
   [
    2,
    7
   ],
   [
    2,
    8
   ],
   [
    2,
    9
   ],
   [
    2,
    10
   ],
   [
    2,
    11
   ],
   [
    3,
    0
   ],
   [
    3,
    1
   ],
   [
    3,
    2
   ],
   [
    3,
    3
   ],
   [
    3,
    4
   ],
   [
    3,
    5
   ],
   [
    3,
    6
   ],
   [
    3,
    7
   ],
   [
    3,
    8
   ],
   [
    3,
    9
   ],
   [
    3,
    10
   ],
   [
    3,
    11
   ],
   [
    4,
    0
   ],
   [
    4,
    1
   ],
   [
    4,
    2
   ],
   [
    4,
    3
   ],
   [
    4,
    4
   ],
   [
    4,
    5
   ],
   [
    4,
    6
   ],
   [
    4,
    7
   ],
   [
    4,
    8
   ],
   [
    4,
    9
   ],
   [
    4,
    10
   ],
   [
    4,
    11
   ],
   [
    5,
    0
   ],
   [
    5,
    1
   ],
   [
    5,
    2
   ],
   [
    5,
    3
   ],
   [
    5,
    4
   ],
   [
    5,
    5
   ],
   [
    5,
    6
   ],
   [
    5,
    7
   ],
   [
    5,
    8
   ],
   [
    5,
    9
   ],
   [
    5,
    10
   ],
   [
    5,
    11
   ],
   [
    6,
    0
   ],
   [
    6,
    1
   ],
   [
    6,
    2
   ],
   [
    6,
    3
   ],
   [
    6,
    4
   ],
   [
    6,
    5
   ],
   [
    6,
    6
   ],
   [
    6,
    7
   ],
   [
    6,
    8
   ],
   [
    6,
    9
   ],
   [
    6,
    10
   ],
   [
    6,
    11
   ],
   [
    7,
    0
   ],
   [
    7,
    1
   ],
   [
    7,
    2
   ],
   [
    7,
    3
   ],
   [
    7,
    4
   ],
   [
    7,
    5
   ],
   [
    7,
    6
   ],
   [
    7,
    7
   ],
   [
    7,
    8
   ],
   [
    7,
    9
   ],
   [
    7,
    10
   ],
   [
    7,
    11
   ],
   [
    8,
    0
   ],
   [
    8,
    1
   ],
   [
    8,
    2
   ],
   [
    8,
    3
   ],
   [
    8,
    4
   ],
   [
    8,
    5
   ],
   [
    8,
    6
   ],
   [
    8,
    7
   ],
   [
    8,
    8
   ],
   [
    8,
    9
   ],
   [
    8,
    10
   ],
   [
    8,
    11
   ],
   [
    9,
    0
   ],
   [
    9,
    1
   ],
   [
    9,
    2
   ],
   [
    9,
    3
   ],
   [
    9,
    4
   ],
   [
    9,
    5
   ],
   [
    9,
    6
   ],
   [
    9,
    7
   ],
   [
    9,
    8
   ],
   [
    9,
    9
   ],
   [
    9,
    10
   ],
   [
    9,
    11
   ],
   [
    10,
    0
   ],
   [
    10,
    1
   ],
   [
    10,
    2
   ],
   [
    10,
    3
   ],
   [
    10,
    4
   ],
   [
    10,
    5
   ],
   [
    10,
    6
   ],
   [
    10,
    7
   ],
   [
    10,
    8
   ],
   [
    10,
    9
   ],
   [
    10,
    10
   ],
   [
    10,
    11
   ],
   [
    0,
    0
   ],
   [
    0,
    1
   ],
   [
    0,
    2
   ],
   [
    0,
    3
   ],
   [
    0,
    4
   ],
   [
    0,
    5
   ],
   [
    0,
    6
   ],
   [
    0,
    7
   ],
   [
    0,
    8
   ],
   [
    0,
    9
   ],
   [
    0,
    10
   ],
   [
    0,
    11
   ],
   [
    1,
    0
   ],
   [
    1,
    1
   ],
   [
    1,
    2
   ],
   [
    1,
    3
   ],
   [
    1,
    4
   ],
   [
    1,
    5
   ],
   [
    1,
    6
   ],
   [
    1,
    7
   ],
   [
    1,
    8
   ],
   [
    1,
    9
   ],
   [
    1,
    10
   ],
   [
    1,
    11
   ],
   [
    2,
    0
   ],
   [
    2,
    1
   ],
   [
    2,
    2
   ],
   [
    2,
    3
   ],
   [
    2,
    4
   ],
   [
    2,
    5
   ],
   [
    2,
    6
   ],
   [
    2,
    7
   ],
   [
    2,
    8
   ],
   [
    2,
    9
   ],
   [
    2,
    10
   ],
   [
    2,
    11
   ],
   [
    3,
    0
   ],
   [
    3,
    1
   ],
   [
    3,
    2
   ],
   [
    3,
    3
   ],
   [
    3,
    4
   ],
   [
    3,
    5
   ],
   [
    3,
    6
   ],
   [
    3,
    7
   ],
   [
    3,
    8
   ],
   [
    3,
    9
   ],
   [
    3,
    10
   ],
   [
    3,
    11
   ],
   [
    4,
    0
   ],
   [
    4,
    1
   ],
   [
    4,
    2
   ],
   [
    4,
    3
   ],
   [
    4,
    4
   ],
   [
    4,
    5
   ],
   [
    4,
    6
   ],
   [
    4,
    7
   ],
   [
    4,
    8
   ],
   [
    4,
    9
   ],
   [
    4,
    10
   ],
   [
    4,
    11
   ],
   [
    5,
    0
   ],
   [
    5,
    1
   ],
   [
    5,
    2
   ],
   [
    5,
    3
   ],
   [
    5,
    4
   ],
   [
    5,
    5
   ],
   [
    5,
    6
   ],
   [
    5,
    7
   ],
   [
    5,
    8
   ],
   [
    5,
    9
   ],
   [
    5,
    10
   ],
   [
    5,
    11
   ],
   [
    6,
    0
   ],
   [
    6,
    1
   ],
   [
    6,
    2
   ],
   [
    6,
    3
   ],
   [
    6,
    4
   ],
   [
    6,
    5
   ],
   [
    6,
    6
   ],
   [
    6,
    7
   ],
   [
    6,
    8
   ],
   [
    6,
    9
   ],
   [
    6,
    10
   ],
   [
    6,
    11
   ],
   [
    7,
    0
   ],
   [
    7,
    1
   ],
   [
    7,
    2
   ],
   [
    7,
    3
   ],
   [
    7,
    4
   ],
   [
    7,
    5
   ],
   [
    7,
    6
   ],
   [
    7,
    7
   ],
   [
    7,
    8
   ],
   [
    7,
    9
   ],
   [
    7,
    10
   ],
   [
    7,
    11
   ],
   [
    8,
    0
   ],
   [
    8,
    1
   ],
   [
    8,
    2
   ],
   [
    8,
    3
   ],
   [
    8,
    4
   ],
   [
    8,
    5
   ],
   [
    8,
    6
   ],
   [
    8,
    7
   ],
   [
    8,
    8
   ],
   [
    8,
    9
   ],
   [
    8,
    10
   ],
   [
    8,
    11
   ],
   [
    9,
    0
   ],
   [
    9,
    1
   ],
   [
    9,
    2
   ],
   [
    9,
    3
   ],
   [
    9,
    4
   ],
   [
    9,
    5
   ],
   [
    9,
    6
   ],
   [
    9,
    7
   ],
   [
    9,
    8
   ],
   [
    9,
    9
   ],
   [
    9,
    10
   ],
   [
    9,
    11
   ],
   [
    10,
    0
   ],
   [
    10,
    1
   ],
   [
    10,
    2
   ],
   [
    10,
    3
   ],
   [
    10,
    4
   ],
   [
    10,
    5
   ],
   [
    10,
    6
   ],
   [
    10,
    7
   ],
   [
    10,
    8
   ],
   [
    10,
    9
   ],
   [
    10,
    10
   ],
   [
    10,
    11
   ]
  ],
  "layers": 2,
  "interaction_radius": 4.123105625617661
 },
 "provenance": {
  "authors": [
   "@FarLab",
   "@vprusso"
  ],
  "origin": "submission",
  "construction": "Generalized weight-6 form f = 1 + xy + x^-1 y^2, g = 1 + x^-1 y + x^-2 y^-1; open boundaries via annulus-type boundary engine, (11,12) lattice. New instance of the Liang-Eberhardt-Chen open-boundary family (arXiv:2504.08887), outside the paper's enumerated form; the paper's k=6 family stops at [[221,6,10]].",
  "model": "Claude Opus 4.8",
  "date": "2026-06-19",
  "references": [
   "arXiv:2504.08887"
  ],
  "notes": "Distance proven exact by cutoff MILP (scipy/HiGHS); no lighter logical exists on either side."
 },
 "family": "bivariate-bicycle"
}
