The generator matrix
1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 1 1 1 0 X 1 0 X 1 0 1 X 1 X 1 1 0 X X 1 X 1 1 1 X 1 X X 0 1 X 0 X 1 1 1 X 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 X X 1 1 1 X X 0 1 1 1 1 1 X 0 X 1 0 X X 1 0
0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 0 X X 1 X+1 0 1 1 1 X+1 1 0 X X+1 X 1 1 1 0 X X 1 0 X 0 0 X 1 X+1 1 X 1 0 0 1 1 X+1 1 0 X 1 1 X+1 0 1 X+1 X 1 0 X X+1 0 1 X 1 0 1 0 0 X 1 1 1 X+1 1 0 X X 1 1 0 1 1 1 X+1 X
0 0 1 0 0 1 1 1 X 1 X+1 1 1 X 0 X+1 1 X 0 X+1 X+1 1 1 0 X 0 X 0 1 X+1 0 X+1 X+1 X X 1 X+1 1 X 1 1 0 0 0 X 1 1 1 X X+1 X+1 X+1 X X+1 1 0 0 X+1 X 0 0 0 1 X+1 X X+1 X 0 1 X X 1 X 1 1 X 1 1 X+1 X 1 X X 1 X 1 0 1 1 X+1 0 1
0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X X X+1 0 1 0 X+1 1 1 X+1 0 X 1 1 X X+1 0 X X+1 X X+1 X X 0 1 X+1 X 1 1 0 0 X X 1 1 1 1 X X X+1 0 0 X X X+1 X 0 X X+1 1 X+1 0 X+1 1 0 X X 1 0 0 1 1 1 X+1 X+1 1 0 0 0 X X X+1 0 X+1 1 X+1 0 X
0 0 0 0 X 0 0 0 0 0 0 X X X X X X X X X 0 X X 0 X X X X 0 X X 0 0 X 0 X X 0 X X 0 0 0 X X 0 0 X 0 X X X 0 X X 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 X 0 X 0 X 0 0 0 X 0 X 0 0 X X 0 0 0 X 0 0
0 0 0 0 0 X 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 0 X X 0 X 0 0 X 0 X X X X 0 0 X X 0 X X X 0 X X 0 0 0 0 X 0 X 0 X X X 0 X 0 X X X 0 X 0 X 0 X 0 X X 0 X X 0 0 X 0 0 0
0 0 0 0 0 0 X 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 0 X X X X X X X X X X X X X X X X X X X X X X X X X X X 0 X 0 X 0 X 0 X X 0 X 0 X X X 0 0 0 0 X X X X X X 0 0 X 0
generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 83.
Homogenous weight enumerator: w(x)=1x^0+68x^83+150x^84+132x^85+75x^86+130x^87+203x^88+126x^89+47x^90+116x^91+177x^92+104x^93+61x^94+114x^95+112x^96+54x^97+35x^98+52x^99+58x^100+42x^101+27x^102+20x^103+40x^104+32x^105+3x^106+10x^107+23x^108+18x^109+5x^110+3x^112+4x^113+3x^114+2x^115+1x^120
The gray image is a linear code over GF(2) with n=184, k=11 and d=83.
This code was found by Heurico 1.16 in 1.3 seconds.