The generator matrix

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

generates a code of length 85 over Z2[X]/(X^2) who�s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+52x^79+66x^80+69x^82+88x^83+8x^84+16x^86+64x^87+40x^88+36x^90+40x^91+8x^92+12x^95+2x^96+2x^98+4x^106+2x^112+1x^114+1x^128

The gray image is a linear code over GF(2) with n=170, k=9 and d=79.
This code was found by Heurico 1.16 in 0.286 seconds.