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    142,
    143,
    223
   ],
   [
    144,
    145,
    146,
    147,
    217
   ],
   [
    148,
    149,
    150,
    151,
    213,
    214
   ],
   [
    152,
    153,
    154,
    155,
    215,
    217
   ],
   [
    156,
    157,
    158,
    159,
    221,
    223
   ],
   [
    160,
    161,
    162,
    163,
    214,
    223
   ],
   [
    164,
    165,
    166,
    167,
    213,
    221
   ],
   [
    168,
    169,
    170,
    171,
    212,
    220
   ],
   [
    172,
    173,
    174,
    175,
    214,
    215
   ],
   [
    176,
    177,
    178,
    179,
    221
   ],
   [
    180,
    181,
    182,
    183,
    219
   ],
   [
    184,
    185,
    186,
    187,
    214
   ],
   [
    188,
    189,
    190,
    191,
    217,
    218,
    220
   ],
   [
    192,
    193,
    194,
    195,
    214,
    219
   ],
   [
    196,
    197,
    198,
    199,
    212,
    222
   ]
  ]
 },
 "distance": {
  "d": 6,
  "X": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    44,
    45,
    60,
    61,
    164,
    165
   ]
  },
  "Z": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    100,
    101,
    144,
    145,
    184,
    185
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Distance-amplified code: one [[4,2,2]] tensor-product amplification step (central three-term truncation of the chain-complex tensor product, arXiv:2609.37231 Eq. 1/Eq. 12-15) applied to the board's local-sat bilayer 5x5x2 G=12 w8 t2 model 0 entry, using a sparse independent-row presentation of its checks: n' = 4n + m_X + m_Z = 224, k' = 2k = 52, check weight w' = w+1 = 9. X/Z witnesses are the base witnesses tensored with the weight-2 [[4,2,2]] logical on the central register (weights 6/6); a 100000-trial fast-backend search (seed 5000) found nothing lighter (min weight 6). Base provenance: SAT search (research/local_sat.py build_local_cnf with the grid site list repeated 2 times, n_side=5, G=12, max_weight=8, t=2 detection, anchor radius 3.5, shared_t3 encoding, CaDiCaL 1.9.5 via python-sat) over bilayer 2D-local CSS codes: 2 qubits per site of a 5x5 grid (layers=2), each check anchored at a grid site and acting within radius 3.5 of it, so the interaction radius is at most 7.0 by construction. Model index 0 of the enumeration; distance is a witness-backed upper bound.",
  "references": [
   "arXiv:2609.37231"
  ],
  "date": "2026-09-30",
  "notes": "Constructed and packaged with the Space Bunny Alpha 1.0 model.",
  "model": "Space Bunny Alpha 1.0"
 },
 "family": "distance-amplified"
}