The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 1 0 1 1 X 1 1 1 X X 1 1 1 0 1 1 0 X 0 1 1 X X 1 X 0 1 1 1 0 1 1 X 1 1 X 1 0 1 1 1 X 1 X 0 1 1 X X 0 1 X 1 1 X 1 1 0 X X 1 X 0 X X 1 X X 1 0 1 X 0 0 X X 1 0 1
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X X+1 X+1 1 1 X+1 X 1 X+1 1 1 X 0 X X+1 X 1 X 1 1 1 X+1 0 X X 1 1 1 X+1 1 0 0 0 0 1 1 0 X 1 0 X+1 1 X X X+1 1 1 X 0 0 0 1 X+1 0 X+1 X 1 X X+1 0 1 1 1 0 1 X X 0 1 1 1 0 1 1 1 1 0 1 X 1 0
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 X+1 1 1 1 1 0 X 0 X 1 X+1 X+1 0 1 X+1 0 1 X 0 1 X+1 X 0 X 0 1 X+1 1 X 0 X 0 X+1 1 1 1 X 1 0 0 0 1 1 1 X 1 X 1 1 X X 1 X 1 X+1 X X+1 X 0 X+1 X 1 1 1 X 1 1 1 X 1 1 0 0 X+1 1 X 0 X X+1
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X X+1 0 1 X X X+1 1 X X X+1 0 X 0 1 X+1 X+1 X+1 X+1 1 1 0 1 X+1 1 0 0 X+1 1 0 X+1 X 1 0 X+1 X 1 X X 1 1 0 X+1 1 0 X 0 X+1 X+1 X+1 X+1 X X+1 1 1 1 X 0 1 X+1 1 X+1 0 X+1 0 X+1 1 0 1 1 1 1 X+1 0 0 X+1 X+1 X+1 1 0 X 0
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 X 1 X X+1 0 X+1 X X+1 X X 1 X+1 X 1 X+1 0 1 X+1 0 0 X+1 X X+1 X 1 X+1 1 X+1 0 1 1 0 0 X 0 1 0 X X 1 1 1 X+1 1 X X X+1 X X 0 1 1 X+1 1 0 0 1 0 X X X+1 1 X X+1 0 X 1 X 1 X+1 0 0 1 0 0 0 X 1 1 X X+1
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X 0 X+1 1 0 0 X X+1 X 1 X X+1 1 X+1 X+1 1 X+1 X 0 X X+1 X+1 1 X+1 X 0 X+1 X+1 X 1 1 X 1 X+1 X X 1 0 X+1 X+1 1 0 0 X+1 0 X 0 0 X+1 0 0 X X+1 X X+1 X+1 X+1 1 1 1 1 1 1 X X 1 1 1 X X X+1 X X X+1 X 0 1 1 0 X+1 X+1 1
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X X 0 X X 0 X X X 0 0 X X 0 X 0 X X X X 0 0 X X 0 X 0 X X 0 X 0 0 0 0 0 X 0 X 0 X 0 0 0 X X 0 X 0 X 0 0 0 0 X X 0 X 0 0 0 0 X 0 X 0 0 X X X 0 0 X X X X 0 X X 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+282x^84+495x^86+671x^88+746x^90+799x^92+857x^94+779x^96+829x^98+713x^100+606x^102+530x^104+377x^106+232x^108+142x^110+79x^112+44x^114+10x^116

The gray image is a linear code over GF(2) with n=192, k=13 and d=84.
This code was found by Heurico 1.10 in 520 seconds.