The generator matrix

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

generates a code of length 88 over Z2[X]/(X^2) who�s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+80x^82+95x^84+81x^86+64x^88+56x^90+56x^92+25x^94+30x^96+11x^98+3x^100+1x^102+4x^104+1x^116+1x^118+1x^120+1x^122+1x^124

The gray image is a linear code over GF(2) with n=176, k=9 and d=82.
This code was found by Heurico 1.16 in 0.391 seconds.