The generator matrix

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

generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+76x^81+92x^82+96x^83+93x^84+72x^85+79x^86+66x^87+66x^88+46x^89+54x^90+32x^91+29x^92+32x^93+40x^94+38x^95+15x^96+14x^97+10x^98+12x^99+11x^100+10x^101+9x^102+4x^103+6x^104+4x^105+4x^106+8x^107+3x^108+2x^117

The gray image is a linear code over GF(2) with n=176, k=10 and d=81.
This code was found by Heurico 1.16 in 1.11 seconds.