The generator matrix

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

generates a code of length 96 over Z2[X]/(X^2) who�s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+66x^85+110x^86+188x^87+186x^88+200x^89+248x^90+252x^91+249x^92+194x^93+231x^94+210x^95+233x^96+176x^97+151x^98+180x^99+144x^100+148x^101+132x^102+142x^103+132x^104+106x^105+88x^106+72x^107+53x^108+60x^109+53x^110+34x^111+22x^112+6x^113+9x^114+8x^115+2x^116+4x^117+2x^118+2x^119+2x^120

The gray image is a linear code over GF(2) with n=192, k=12 and d=85.
This code was found by Heurico 1.16 in 4.95 seconds.