The generator matrix

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

generates a code of length 90 over Z2[X]/(X^2) who�s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+72x^86+38x^88+66x^90+14x^92+38x^94+9x^96+13x^98+2x^100+2x^102+1x^162

The gray image is a linear code over GF(2) with n=180, k=8 and d=86.
This code was found by Heurico 1.16 in 0.141 seconds.