The generator matrix

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

generates a code of length 96 over Z2[X]/(X^2) who�s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+64x^87+125x^88+126x^89+140x^90+140x^91+145x^92+156x^93+132x^94+116x^95+101x^96+92x^97+90x^98+76x^99+60x^100+54x^101+51x^102+54x^103+67x^104+46x^105+27x^106+38x^107+27x^108+20x^109+31x^110+22x^111+12x^112+16x^113+7x^114+2x^115+4x^116+2x^117+2x^118+2x^120

The gray image is a linear code over GF(2) with n=192, k=11 and d=87.
This code was found by Heurico 1.16 in 1.02 seconds.