The generator matrix

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

generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+258x^82+406x^84+416x^86+476x^88+436x^90+451x^92+356x^94+317x^96+262x^98+269x^100+194x^102+119x^104+76x^106+30x^108+14x^110+7x^112+4x^114+4x^116

The gray image is a linear code over GF(2) with n=184, k=12 and d=82.
This code was found by Heurico 1.10 in 11.5 seconds.