The generator matrix

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

generates a code of length 85 over Z2[X]/(X^2) who�s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+50x^76+90x^77+123x^78+180x^79+127x^80+148x^81+178x^82+132x^83+108x^84+102x^85+97x^86+74x^87+58x^88+62x^89+70x^90+66x^91+70x^92+64x^93+75x^94+38x^95+22x^96+30x^97+24x^98+10x^99+12x^100+16x^101+9x^102+12x^103

The gray image is a linear code over GF(2) with n=170, k=11 and d=76.
This code was found by Heurico 1.16 in 0.83 seconds.