The generator matrix

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

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+87x^80+365x^82+622x^84+719x^86+765x^88+870x^90+754x^92+865x^94+762x^96+709x^98+594x^100+457x^102+255x^104+204x^106+106x^108+31x^110+18x^112+4x^114+4x^116

The gray image is a linear code over GF(2) with n=186, k=13 and d=80.
This code was found by Heurico 1.16 in 15.8 seconds.