The generator matrix
1 0 0 0 0 0 0 0 1 1 1 X 1 1 0 1 1 0 0 X X X 1 0 0 1 X X 1 1 1 1 0 1 1 1 0 0 1 1 1 1 X 0 0 0 0 1 X 1 1 1 1 1 0 1 X 0 1 1 1 1 1 1 1 X 0 X X X 1 0 1 X 0 1 1 X 1 X 1 X X X X 1 1 1 X 1 1 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X X X 0 X 0 0 X X 0 0 X X 0 X X 1 1 1 X+1 1 X+1 1 1 X+1 X+1 X+1 1 X+1 1 X+1 1 1 1 1 1 1 1 1 1 1 1 1 1 X+1 1 1 0 0 1 1 X+1 X+1 X 1 0 1 X
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 0 0 X X X X X 0 X 0 0 X 0 X 1 1 X+1 1 1 1 1 1 1 1 1 X+1 1 X+1 X X+1 1 1 0 X X X+1 X+1 X+1 X+1 0 0 X X X+1 1 0 X+1 0 1 0 X+1 1 0 X+1 X 1 X 0 X+1 1 1 X X+1 1 1 X+1 0 1 X X
0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 1 1 1 1 1 1 X+1 1 1 X+1 1 1 X+1 1 1 X 1 1 1 1 X+1 1 X+1 1 X+1 X X+1 0 1 X+1 X 0 0 1 1 1 0 X+1 X+1 1 X 1 X+1 X+1 1 X+1 0 1 0 1 X 1 X 1 1 1 X X X X X 0 X X+1 X+1 0 X X X X 1 1 1
0 0 0 0 1 0 0 0 0 0 X X 1 1 1 1 X+1 1 1 X X X+1 X X+1 1 X+1 X X 0 X+1 0 1 1 X X+1 1 X X+1 X 0 0 0 X X+1 1 0 X+1 1 1 X+1 1 0 X X+1 X 0 X+1 X+1 X+1 X+1 0 0 X X 1 0 0 0 X+1 X X+1 1 X 1 X 1 X X X+1 X X 0 0 1 1 X+1 X X+1 1 X 0 X
0 0 0 0 0 1 0 0 1 X 1 1 0 X+1 1 0 1 0 X+1 X 0 0 0 1 0 1 1 X+1 X+1 X X X 1 X+1 0 1 0 X X 1 X 1 X X X+1 X+1 X X+1 X+1 X X X+1 1 0 1 0 0 0 1 X+1 X+1 X+1 X X 1 X X+1 0 X+1 1 1 1 1 X X+1 X X X+1 X X+1 0 X+1 X 0 0 1 X 0 X 0 0 0
0 0 0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 0 1 X X X+1 X 1 X+1 X+1 X 1 0 X 0 X 1 X 1 X+1 1 0 X+1 X+1 X+1 X X X+1 X X+1 X 0 0 X X X+1 X+1 X X+1 X+1 0 X+1 0 X X+1 X+1 X X+1 X X+1 0 0 X+1 0 X X 1 0 0 X 1 1 X X+1 X+1 X X+1 0 0 X+1 X 1 1 0 0 X+1 X+1
0 0 0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 0 X X+1 X+1 1 X+1 1 X 1 X 1 0 1 X X 1 1 X 1 0 0 0 X+1 0 0 0 X+1 X+1 X X+1 0 1 X X+1 0 1 X 0 0 X+1 X+1 1 1 X+1 1 X+1 1 X+1 X X+1 X X+1 X 0 X+1 1 X X 0 X X X+1 X+1 1 0 X 0 X+1 1 0 1 X 0 1 X+1 X X
generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 75.
Homogenous weight enumerator: w(x)=1x^0+104x^75+249x^76+396x^77+567x^78+742x^79+998x^80+1262x^81+1583x^82+1692x^83+1914x^84+2202x^85+2498x^86+2802x^87+3085x^88+3334x^89+3513x^90+3744x^91+3752x^92+3756x^93+3597x^94+3432x^95+3278x^96+3024x^97+2656x^98+2370x^99+1994x^100+1614x^101+1378x^102+1134x^103+831x^104+634x^105+481x^106+288x^107+247x^108+144x^109+86x^110+66x^111+31x^112+18x^113+22x^114+10x^115+4x^116+2x^118+1x^146
The gray image is a linear code over GF(2) with n=184, k=16 and d=75.
This code was found by Heurico 1.11 in 332 seconds.