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 1 0 0 0 1 1 1 1 X X X 1 1 1 1 1 X 0 1 1 X X X 1 1 1 0 1 1 1 1 X 0 X X X X X
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 1 X X+1 1 1 1 1 X+1 0 0 X 1 0 0 X 0 X 1 1 0 X 0 1 0 1 X X 0 1 X 1 1 0 X 0 1 1 0 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 0 X X X+1 X+1 0 0 1 X+1 0 1 0 X 1 1 X X+1 X+1 X 1 X X+1 X+1 1 1 1 X+1 0 X+1 0 X X+1 0 1 0 1 X+1 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 X 0 X+1 1 X X 0 0 1 X X X 1 1 X+1 X X X+1 X+1 X+1 0 X+1 X+1 0 X X+1 1 1 0 X X+1 1 1 1 1 X 1 X+1 X+1 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 0 X 0 0 0 X 0 X X X 0 0 X X 0 X X X 0 X X X 0 X 0 0 0 X X 0 0 X X
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 0 X 0 X 0 X X 0 X 0 X 0 X X X 0 0 X 0 X 0 X X 0 X X 0 0 0 X X 0 0 0 X X X X
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 0 0 X X X 0 0 0 X 0 X X 0 X X X X 0 X X X X 0 X 0 0 0 0 0 X 0 X X
generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 85.
Homogenous weight enumerator: w(x)=1x^0+72x^85+107x^86+100x^87+156x^88+178x^89+131x^90+124x^91+139x^92+124x^93+103x^94+96x^95+100x^96+82x^97+71x^98+54x^99+50x^100+54x^101+62x^102+34x^103+34x^104+46x^105+22x^106+26x^107+18x^108+12x^109+12x^110+10x^111+8x^112+6x^113+4x^114+4x^115+5x^116+2x^117+1x^120
The gray image is a linear code over GF(2) with n=188, k=11 and d=85.
This code was found by Heurico 1.16 in 4.66 seconds.