The generator matrix

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

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+154x^66+434x^68+740x^70+1104x^72+1416x^74+1629x^76+1801x^78+1844x^80+1813x^82+1708x^84+1407x^86+1060x^88+664x^90+341x^92+159x^94+52x^96+32x^98+16x^100+5x^102+2x^104+1x^112+1x^114

The gray image is a linear code over GF(2) with n=160, k=14 and d=66.
This code was found by Heurico 1.16 in 51.3 seconds.