The generator matrix

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

generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+30x^69+124x^70+226x^71+371x^72+490x^73+604x^74+710x^75+870x^76+1014x^77+1188x^78+1294x^79+1465x^80+1606x^81+1788x^82+1818x^83+1782x^84+1928x^85+1866x^86+1906x^87+1701x^88+1600x^89+1506x^90+1400x^91+1174x^92+1028x^93+900x^94+654x^95+565x^96+378x^97+265x^98+166x^99+106x^100+94x^101+74x^102+16x^103+23x^104+22x^105+4x^106+2x^107+4x^108+2x^109+1x^112+1x^114+1x^120

The gray image is a linear code over GF(2) with n=170, k=15 and d=69.
This code was found by Heurico 1.11 in 75.3 seconds.