The generator matrix

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

generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+222x^82+634x^84+876x^86+1131x^88+1364x^90+1546x^92+1634x^94+1674x^96+1668x^98+1587x^100+1284x^102+1123x^104+704x^106+488x^108+238x^110+118x^112+58x^114+17x^116+16x^118+1x^128

The gray image is a linear code over GF(2) with n=192, k=14 and d=82.
This code was found by Heurico 1.10 in 18.8 seconds.