The generator matrix

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

generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+126x^80+124x^82+301x^84+176x^86+257x^88+168x^90+236x^92+176x^94+219x^96+124x^98+79x^100+29x^104+19x^108+5x^112+4x^116+2x^120+1x^124+1x^128

The gray image is a linear code over GF(2) with n=180, k=11 and d=80.
This code was found by Heurico 1.16 in 1.21 seconds.