The generator matrix

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

generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+80x^82+112x^83+128x^84+140x^85+141x^86+128x^87+99x^88+144x^89+139x^90+112x^91+99x^92+88x^93+59x^94+86x^95+80x^96+72x^97+41x^98+46x^99+65x^100+38x^101+24x^102+18x^103+28x^104+24x^105+24x^106+10x^107+8x^108+4x^109+2x^110+4x^112+2x^117+2x^118

The gray image is a linear code over GF(2) with n=182, k=11 and d=82.
This code was found by Heurico 1.10 in 0.313 seconds.