The generator matrix

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

generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+97x^76+266x^78+287x^80+276x^82+214x^84+226x^86+179x^88+114x^90+135x^92+68x^94+74x^96+62x^98+34x^100+8x^102+3x^104+4x^106

The gray image is a linear code over GF(2) with n=170, k=11 and d=76.
This code was found by Heurico 1.10 in 0.281 seconds.