The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  1  0  X  0  1  0  1  1  1  X  0  0  1  1  1  X  1  1  0  1  1  1  0  0  1  1  X  X  0  1  1  1  X  1  1  1  1  1  1  1  0  X  0  1  1  1  0  0  1  1  1  1  0  0  X  0  1  X  0  X  1  1  1  0  X  0  1  X  1  1
 0  1  0  0  0  1  1  1  0  X X+1 X+1  1  1  X  0  0  0  1  X  1 X+1  1  1  0  0  1  0  X X+1  X  X  0  1  X  0 X+1  0  1  X  0  1  1  1  0  1  X  1 X+1 X+1  1 X+1 X+1  X X+1  1  1  1 X+1  X X+1  1  1  1  X  1  0  X  0  0  1  X  X  0  1  X  X X+1  X  X  1  1  1  0  X
 0  0  1  0  1  1  0  1  0  1  1  X  0  1  1  X  1  X  X  1  1 X+1  0  1  1  1  0  0  1  X  1  0  1  X  0  1 X+1  1 X+1  1  1 X+1 X+1  X X+1  0  0  X  X  X  1  1 X+1  X X+1  X  1 X+1 X+1 X+1 X+1  1 X+1  X  0  0  X  0  1  X  0 X+1  0  1  0  0  0  X  X  X X+1 X+1  1  0  0
 0  0  0  1  1  0  1  1  1  0 X+1  X  1  X  1 X+1  0  1  0 X+1  0  0  1 X+1  0  X  1  X  0  X  1  1  0  1  0  X  0  1  1 X+1  1  X X+1  1  0  X  1  X  0 X+1  1  X  0  0 X+1  X  X  1  1  X X+1 X+1 X+1 X+1  X X+1  0  1  1  1 X+1  1  1 X+1 X+1  1  1  0  1  1 X+1  X  0 X+1  1
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  0  X  X  X  X  0  X  0  0  X  0  0  X  X  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  0  X  X  0  X  X  0  0  0  X  0  X  X  X  0  0  0  0  0  0  X  X  X  0  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  0  0  0  X  0  0  X  X  0  X  0  X  0  0  X  0  X  0  X  0  0  X  X  0  0  X  X  0  0  X  0  0  0  0  X  X  0  X  0  X  0  X  X  0  0  0  X  0  X  X  0  X  0  0  0  X  X  0  0  0  X  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  0  X  0  X  X  0  0  0  0  0  0  X  0  0  X  X  X  X  0  X  X  0  X  0  X  X  0  X  0  X  0  X  0  0  X  0  0  0  X  X  0  X  X  X  0  0  X  X  0  X  0  0  0  0  X  X  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  X  X  0  0  X  X  X  X  0  0  X  X  0  X  X  0  X  X  0  X  0  X  0  X  X  X  0  X  X  0  0  X  0  0  X  0  0  0  0  0  X  X  0  X  0  X  0  X  0  0  X  X  X  X  0  0  0  0  X  0  X  X  X  0  X  0  0  0  X  0
 0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  0  X  0  0  X  0  0  X  0  X  X  X  X  X  X  0  X  0  X  0  X  X  0  X  0  0  0  0  X  0  X  0  X  X  0  0  0  X  X  0  0  X  0  0  X  X  0  X  0  X  0  X  X  0  X  0  X  X  0  0  X  X  X  0  X  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+76x^72+82x^73+134x^74+206x^75+296x^76+324x^77+321x^78+378x^79+471x^80+428x^81+358x^82+448x^83+447x^84+456x^85+356x^86+412x^87+513x^88+394x^89+333x^90+390x^91+317x^92+244x^93+176x^94+170x^95+132x^96+104x^97+77x^98+44x^99+41x^100+16x^101+24x^102+7x^104+9x^106+3x^108+3x^110+1x^114

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 14.2 seconds.