The generator matrix

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

generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+34x^88+72x^89+54x^90+78x^91+104x^92+110x^93+76x^94+40x^95+68x^96+72x^97+53x^98+34x^99+23x^100+22x^101+35x^102+24x^103+5x^104+16x^105+19x^106+6x^107+11x^108+18x^109+13x^110+8x^111+4x^113+6x^114+2x^115+10x^116+2x^117+4x^121

The gray image is a linear code over GF(2) with n=192, k=10 and d=88.
This code was found by Heurico 1.10 in 0.094 seconds.