The generator matrix

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

generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+189x^84+122x^86+386x^88+306x^90+508x^92+340x^94+501x^96+364x^98+464x^100+266x^102+314x^104+130x^106+99x^108+8x^110+43x^112+29x^116+18x^120+7x^124+1x^128

The gray image is a linear code over GF(2) with n=192, k=12 and d=84.
This code was found by Heurico 1.16 in 5.47 seconds.