The generator matrix

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

generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+244x^82+475x^84+749x^86+730x^88+821x^90+848x^92+797x^94+735x^96+718x^98+637x^100+555x^102+387x^104+269x^106+134x^108+67x^110+18x^112+4x^114+2x^116+1x^120

The gray image is a linear code over GF(2) with n=188, k=13 and d=82.
This code was found by Heurico 1.10 in 5.16 seconds.