The generator matrix

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

generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+68x^79+113x^80+130x^81+125x^82+130x^83+146x^84+140x^85+130x^86+138x^87+126x^88+66x^89+97x^90+72x^91+68x^92+92x^93+59x^94+60x^95+52x^96+42x^97+38x^98+26x^99+28x^100+28x^101+25x^102+14x^103+8x^104+10x^105+4x^106+4x^107+2x^108+4x^109+2x^110

The gray image is a linear code over GF(2) with n=176, k=11 and d=79.
This code was found by an older version of Heurico in 0 seconds.