The generator matrix

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

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+90x^82+331x^84+470x^86+479x^88+390x^90+450x^92+404x^94+369x^96+308x^98+214x^100+218x^102+164x^104+108x^106+53x^108+24x^110+19x^112+4x^114

The gray image is a linear code over GF(2) with n=186, k=12 and d=82.
This code was found by Heurico 1.10 in 1.25 seconds.