The generator matrix

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

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+38x^88+68x^89+75x^90+112x^91+91x^92+56x^93+73x^94+68x^95+53x^96+48x^97+32x^98+38x^99+42x^100+38x^101+25x^102+16x^103+13x^104+26x^105+29x^106+16x^107+14x^108+14x^109+16x^110+4x^111+3x^112+2x^113+3x^114+2x^115+1x^116+4x^117+2x^118+1x^122

The gray image is a linear code over GF(2) with n=192, k=10 and d=88.
This code was found by Heurico 1.16 in 0.414 seconds.