The generator matrix

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

generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+93x^68+164x^69+356x^70+474x^71+835x^72+876x^73+1209x^74+1368x^75+1653x^76+1878x^77+2233x^78+2662x^79+2819x^80+3148x^81+3302x^82+3702x^83+3658x^84+3986x^85+3880x^86+3806x^87+3461x^88+3366x^89+3085x^90+2782x^91+2357x^92+1992x^93+1622x^94+1136x^95+1037x^96+774x^97+620x^98+376x^99+275x^100+170x^101+172x^102+64x^103+54x^104+26x^105+32x^106+10x^107+12x^108+2x^109+1x^110+2x^111+1x^112+2x^113+2x^115

The gray image is a linear code over GF(2) with n=170, k=16 and d=68.
This code was found by Heurico 1.11 in 328 seconds.