The generator matrix

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

generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+171x^80+248x^82+441x^84+414x^86+499x^88+384x^90+430x^92+366x^94+342x^96+240x^98+262x^100+114x^102+113x^104+24x^106+30x^108+2x^110+10x^112+5x^116

The gray image is a linear code over GF(2) with n=182, k=12 and d=80.
This code was found by Heurico 1.16 in 4.2 seconds.