The generator matrix

 1  0  0  0  0  0  0  1  1  1  X  0  1  1  1  1  0  X  X  0  1  1  0  X  1  0  X  1  0  X  1  1  0  1  1  1  1  X  0  X  0  1  1  X  1  X  0  1  0  1  1  0  X  1  0  1  1  1  0  0  0  1  1  1  0  X  1  X  X  X  X  1  0  0  0  1  X  X  0  0  1  1  0  0  1  1  1  1  1  1  0  1
 0  1  0  0  0  0  0  0  0  0  0  1  1 X+1  1  1  1  1  1  1  1  0  1  X X+1  X  0  1  0  X  X X+1  1  0  X  X  1  1  0  1  1 X+1  X  0  X  1  X  1  X  0  0  X  X X+1  1  0  1  1  0  1  1  X  0  1  1  1  1  0  X  1  X  0  0  1  1  0  0  0  1  1 X+1  0  X  1  1  1  0  1  0  X  1  0
 0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  1 X+1 X+1  1  1  1 X+1 X+1  1  1  1  1 X+1 X+1  1  1 X+1 X+1 X+1  X  1 X+1 X+1 X+1  1  1  X  1 X+1  1 X+1  X  1  1  1 X+1  1  0  X  X X+1  X  0  X X+1  1 X+1  1  0
 0  0  0  1  0  0  0  0  0  0  0  X  0  X  0  X  0  X  1 X+1 X+1  1 X+1  1  1  1  X  1  1  1  X  1  1 X+1 X+1  1  X  0  1  X X+1  1  0  X  X  1 X+1 X+1  0  1  X  0  1  1 X+1 X+1  0 X+1  0  1  1  0  0  X  X  0 X+1 X+1  X  1  X  0  1  0  X  1  1 X+1  X  X X+1 X+1  1 X+1  1  X  0  X  X  X  1  0
 0  0  0  0  1  0  0  0  1  1  1  1  0  1  X X+1  X  1  0  1  X X+1  X X+1  1  X  X  X  X  1 X+1  X X+1  0  X  1  0  0  0 X+1  0  1  X  0  0  0  1  1 X+1  0  1  0  X  0  0  1  X  X X+1  1  0  0  1  1 X+1  1  X  0  X  0  1 X+1  0  1 X+1  0  1  X  X  1  X  1  1  0  1  0  1  0  0  0 X+1  0
 0  0  0  0  0  1  0  1  0 X+1  1  1  1  0  0 X+1 X+1  X  1  0  0  X  X  0  1  1  1  X  0  1  1  1  1 X+1  X X+1  1 X+1 X+1 X+1  0 X+1  0  0  X X+1 X+1  X X+1 X+1  X  1  0  0  0  1  X X+1 X+1  1 X+1 X+1  0  1 X+1 X+1  X  1  0  1  1  0 X+1  0  1  0  X  1  X  X  1  1  0 X+1  1  X  X  0  X  1  X  1
 0  0  0  0  0  0  1  1 X+1  X  1  0  X  0  1  1  1  1  0  X  0  X X+1  1  0  1  0  X  X  X  0  1  1  X X+1 X+1  0  1  1  X X+1  0  0  1 X+1  1  1  0  0  1  X X+1 X+1  1  0  X  X  X  X  X X+1  0 X+1  X  X  1  1  X  1  X  1  X  X  1  1  X  X  1 X+1  0 X+1  X  0  X X+1  1  0 X+1 X+1  1  X  0
 0  0  0  0  0  0  0  X  X  0  0  0  0  0  X  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  X  0  X  X  0  X  X  0  X  X  0  0  0  0  0  X  0  X  X  X  0  0  0  X  0  X  X  X  0  0  0  0  0  0  0  X  X  X  0  0  X  0  X  0  X  X  0  X  X  X  0  0  0  0  0  X  0  X

generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+91x^76+134x^77+293x^78+394x^79+462x^80+688x^81+781x^82+956x^83+1029x^84+1272x^85+1349x^86+1372x^87+1570x^88+1530x^89+1709x^90+1822x^91+1800x^92+1750x^93+1778x^94+1692x^95+1570x^96+1508x^97+1330x^98+1216x^99+979x^100+936x^101+785x^102+544x^103+461x^104+318x^105+257x^106+162x^107+91x^108+52x^109+35x^110+30x^111+7x^112+4x^113+3x^114+4x^115+2x^116+1x^152

The gray image is a linear code over GF(2) with n=184, k=15 and d=76.
This code was found by Heurico 1.11 in 82.3 seconds.