The generator matrix

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

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+46x^72+110x^73+153x^74+224x^75+319x^76+320x^77+388x^78+342x^79+383x^80+462x^81+400x^82+464x^83+416x^84+420x^85+378x^86+388x^87+433x^88+366x^89+370x^90+316x^91+262x^92+286x^93+237x^94+206x^95+139x^96+132x^97+101x^98+44x^99+39x^100+14x^101+17x^102+10x^104+2x^105+4x^106

The gray image is a linear code over GF(2) with n=170, k=13 and d=72.
This code was found by an older version of Heurico in 0 seconds.