The generator matrix

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

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+52x^73+89x^74+84x^75+100x^76+88x^77+96x^78+82x^79+56x^80+52x^81+52x^82+48x^83+33x^84+32x^85+18x^86+24x^87+12x^88+16x^89+13x^90+10x^91+10x^92+16x^93+18x^94+4x^95+5x^96+2x^98+2x^99+5x^100+2x^103+2x^104

The gray image is a linear code over GF(2) with n=160, k=10 and d=73.
This code was found by Heurico 1.10 in 0.078 seconds.