The generator matrix

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

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+23x^74+52x^75+46x^76+68x^77+55x^78+42x^79+51x^80+34x^81+35x^82+16x^83+8x^84+12x^85+5x^86+12x^87+8x^88+6x^89+6x^90+2x^91+6x^92+6x^93+4x^94+2x^95+8x^96+2x^101+2x^107

The gray image is a linear code over GF(2) with n=160, k=9 and d=74.
This code was found by Heurico 1.10 in 0.031 seconds.