The generator matrix

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

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+80x^85+138x^86+166x^87+188x^88+188x^89+253x^90+224x^91+196x^92+218x^93+242x^94+210x^95+179x^96+222x^97+209x^98+196x^99+159x^100+140x^101+132x^102+110x^103+111x^104+104x^105+110x^106+84x^107+44x^108+58x^109+44x^110+26x^111+8x^112+14x^113+19x^114+8x^115+9x^116+4x^118+1x^120+1x^122

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 84.3 seconds.