The generator matrix

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

generates a code of length 95 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+63x^82+104x^83+178x^84+286x^85+296x^86+332x^87+380x^88+362x^89+393x^90+370x^91+433x^92+418x^93+403x^94+424x^95+399x^96+438x^97+365x^98+370x^99+301x^100+352x^101+300x^102+230x^103+227x^104+166x^105+152x^106+132x^107+86x^108+70x^109+68x^110+22x^111+37x^112+18x^113+7x^114+6x^116+2x^117+1x^118

The gray image is a linear code over GF(2) with n=190, k=13 and d=82.
This code was found by Heurico 1.10 in 4.86 seconds.