The generator matrix

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

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+120x^86+171x^88+198x^90+153x^92+82x^94+80x^96+40x^98+52x^100+32x^102+35x^104+22x^106+11x^108+14x^110+5x^112+4x^114+4x^120

The gray image is a linear code over GF(2) with n=186, k=10 and d=86.
This code was found by Heurico 1.10 in 0.094 seconds.