The generator matrix

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

generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+54x^83+79x^84+66x^85+50x^86+44x^87+41x^88+30x^89+29x^90+18x^91+27x^92+20x^93+7x^94+8x^95+6x^96+4x^97+3x^98+4x^100+2x^101+2x^102+3x^106+4x^107+2x^108+4x^109+1x^110+2x^113+1x^114

The gray image is a linear code over GF(2) with n=176, k=9 and d=83.
This code was found by Heurico 1.16 in 12 seconds.