The generator matrix

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

generates a code of length 85 over Z2[X]/(X^2) who�s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+84x^78+196x^80+204x^82+137x^84+118x^86+79x^88+46x^90+39x^92+32x^94+30x^96+14x^98+22x^100+10x^102+6x^104+4x^106+2x^108

The gray image is a linear code over GF(2) with n=170, k=10 and d=78.
This code was found by Heurico 1.16 in 0.298 seconds.