The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  1  1  1
 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  X  X  X  X  X  X  X  0  X  X  X  0  X  X  X  0  X  X  X  X  0  X  X  0  X  X  0  X  X  X  0  X  0  X  X  X  X  X  X  0  0  0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  0  0  0  0  X  X  X  0  X  X  X  0  X  X  X  0  0  X  X  X  X  X  X  X  X  X  0  X  X  X  X  X  X  0  0  0  0  0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X  0  0  X  X  0  X  X  0  0  X  0  0  X  X  0  0  X  X  0  0  0  0  0  X  0  0  X  X  0  0  X  X  X  X  0  X  X  X  X  0  0  0  0  0  0  X  X  X  0  X  X  X  0  0  X  X  0  0  0  0  0  0
 0  0  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  X  X  X  X  X  0  X  X  0  X  X  0  X  X  X  X  X  0  0  X  X  X  0  0  0  X  X  0  0  0  0  X  X  0  X  0  X  0  0  X  X  0  0
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  X  X  X  X  0  0  0  X  X  X  X  X  0  X  X  X  0  X  X  0  X  0  0  0  0  0  X  X  X  X  X  0  0  0  0  0  0  X  X  0  0  X  X  0  0  X  X  0  0  0  0  X  X  0  0  0  X  X  X  0  0  X  0  0
 0  0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  X  0  0  0  X  X  0  0  0  0  X  0  X  X  0  X  X  0  X  0  0  X  X  0  0  0  0  0  0  0  X  X  X  0  X  0  X  X  0  0  0

generates a code of length 85 over Z2[X]/(X^2) who�s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+45x^80+129x^84+50x^88+30x^92+1x^164

The gray image is a linear code over GF(2) with n=170, k=8 and d=80.
This code was found by Heurico 1.16 in 0.136 seconds.