The generator matrix

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

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+62x^81+80x^82+98x^83+114x^84+84x^85+80x^86+56x^87+75x^88+62x^89+45x^90+44x^91+22x^92+26x^93+18x^94+22x^95+24x^96+18x^97+23x^98+8x^99+10x^100+14x^101+6x^102+6x^103+6x^104+6x^105+2x^106+2x^107+2x^110+4x^111+4x^112

The gray image is a linear code over GF(2) with n=176, k=10 and d=81.
This code was found by Heurico 1.10 in 0.312 seconds.