The generator matrix

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

generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+28x^85+54x^86+52x^87+30x^88+28x^89+20x^90+8x^91+14x^92+4x^93+6x^94+4x^95+4x^97+2x^100+1x^128

The gray image is a linear code over GF(2) with n=176, k=8 and d=85.
This code was found by Heurico 1.10 in 0.015 seconds.