The generator matrix

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

generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+75x^72+64x^73+130x^74+260x^75+303x^76+320x^77+332x^78+390x^79+379x^80+412x^81+395x^82+418x^83+476x^84+466x^85+414x^86+406x^87+431x^88+404x^89+363x^90+344x^91+321x^92+240x^93+204x^94+178x^95+137x^96+112x^97+69x^98+50x^99+43x^100+30x^101+10x^102+2x^103+8x^104+3x^106+1x^112+1x^116

The gray image is a linear code over GF(2) with n=170, k=13 and d=72.
This code was found by Heurico 1.16 in 14.1 seconds.