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  0  1  X  X  X  0  1  1  1  1  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  1  1  0  1  1  0 X+1  X X+1  1 X+1
 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  X  X  0  X  0  0  X  0  X  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  X  X  0  X  0  X  X  0  0  X
 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  0  X  X  X  X  0  0  0  X  0  0  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  0  0  X  0  X  0  0  X  X  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  0  0  0  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+79x^86+67x^88+60x^90+49x^92+25x^94+34x^96+7x^98+4x^100+3x^102+3x^104+1x^118+3x^120+1x^122

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 14.9 seconds.