The generator matrix

1 0 0 0 0 0 1 1 1 0 1 1 X 0 1 1 X 1 1 1 X 1 0 1 X 0 X X 0 1 1 1 1 1 1 X 1 1 1 X 0 1 X X 1 1 0 0 1 1 X 1 1 1 X X 1 0 1 1 X X 0 0 1 1 X 1 1 0 1 1 1 1 X 1 0 0 1 X 0 0 1 1 1 1 1 X 1 1 1 1 1 X X 1
0 1 0 0 0 0 0 0 0 X 0 0 X 0 X X X 1 X+1 X+1 1 1 1 1 1 1 1 1 1 X+1 X+1 1 X X X 0 X+1 X+1 X 0 1 1 X 0 X+1 X+1 1 1 X X+1 1 1 X X X 1 X+1 X 1 X+1 1 1 1 0 0 1 1 1 0 1 X+1 X X+1 0 0 X 1 1 X+1 0 1 1 X+1 X+1 1 X X X X X 1 1 1 1 1 X+1
0 0 1 0 0 0 0 0 X 0 0 0 0 X X 0 0 0 0 X X 0 X X X 0 X 0 X 0 X X X 1 X+1 1 X+1 1 X+1 1 1 X+1 1 1 X+1 X+1 1 1 X+1 1 1 1 X+1 X 1 X+1 0 1 1 1 1 0 X+1 1 1 1 X+1 X X+1 1 X X 1 X+1 1 1 0 X X X X+1 X+1 0 X 0 1 X+1 X X 0 X+1 X 1 X+1 1 X
0 0 0 1 0 0 0 1 1 1 X X+1 1 1 1 X 0 X+1 X+1 X X X 0 X+1 X+1 X 1 1 1 1 0 X 0 1 X+1 X X X X+1 1 X 0 X+1 X+1 1 X+1 0 1 X+1 X+1 X+1 X 0 1 X X 0 1 X+1 0 X 0 1 0 X X 1 0 0 1 X+1 X 1 X 1 X X X X 1 X+1 X X 0 1 X X+1 1 X X X 1 1 X+1 X+1 0
0 0 0 0 1 0 1 X X+1 1 1 X+1 0 1 0 0 1 X X 1 1 X 0 1 0 1 1 X 1 X+1 X X+1 0 1 1 X X 0 X X+1 X+1 X+1 1 0 0 0 X 1 0 X+1 X 1 1 X+1 1 0 0 0 X+1 X X+1 1 1 X+1 1 0 X 1 X X+1 1 X 0 X 1 X X+1 X+1 X 1 X X X X+1 X+1 1 X 1 0 X X+1 X X X+1 1 X+1
0 0 0 0 0 1 X 0 0 0 1 X+1 1 1 X+1 X+1 X+1 1 0 X 1 X X+1 X+1 0 X X+1 X+1 0 X 1 1 1 1 0 X+1 X+1 X X+1 X X+1 1 1 X X+1 0 X X+1 X 1 X+1 X 1 X 0 X+1 X+1 1 X X+1 0 X X X+1 0 1 X 0 1 0 1 1 X+1 1 1 0 1 X X+1 0 1 X+1 0 0 1 1 1 X+1 X X+1 X 1 X+1 X X+1 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+78x^85+126x^86+174x^87+199x^88+228x^89+211x^90+184x^91+243x^92+244x^93+212x^94+186x^95+206x^96+206x^97+200x^98+170x^99+178x^100+158x^101+144x^102+138x^103+111x^104+102x^105+81x^106+52x^107+55x^108+54x^109+38x^110+46x^111+25x^112+16x^113+12x^114+10x^115+4x^116+2x^117+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 1.10 in 1.41 seconds.