The generator matrix

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

generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+14x^81+30x^82+46x^83+51x^84+40x^85+21x^86+12x^87+9x^88+4x^89+1x^90+4x^91+5x^92+4x^93+1x^94+2x^96+2x^97+2x^98+2x^99+4x^100+1x^106

The gray image is a linear code over GF(2) with n=170, k=8 and d=81.
This code was found by Heurico 1.10 in 0.016 seconds.