The generator matrix

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

generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+98x^88+56x^90+54x^92+21x^96+8x^98+10x^100+4x^104+4x^112

The gray image is a linear code over GF(2) with n=182, k=8 and d=88.
This code was found by Heurico 1.16 in 12.3 seconds.