The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  1  1  1  0  X  1  1  1  0  1  0  X  0  1  1  1  X  1  X  0  0  1  X  X  1  0  1  1  X  1  1  1  1  X  X  1  1  1  0  0  X  1  1  X  X  0  1  X  0  1  1  X  X  X  X  1  1  1  X  X  X  0  1  1
 0  1  0  0  1  1  1  0  X  X  1  1  1 X+1  0  1  1  X  1  1  0  0  0  1  1 X+1  1  X  0 X+1 X+1  X  1  X  1  0  0  0  1  X  X  1  X X+1  1 X+1  0  X X+1  X  0  1  X  1  1  X  1  X  0  1  1  X  0  1  0  1 X+1  X  1  1  0  X  0 X+1  X  X  1  1  0  0
 0  0  1  1  1  0  1  X X+1  1  0  1 X+1  X  0 X+1 X+1  1  X  0  1  0  1 X+1  X  X  1  1  1 X+1  0  X  0 X+1 X+1  1  1 X+1  X  1  0 X+1  0  X  0  1 X+1  0  1  1  1  1  X X+1  0  X  X  0  0  0  X  1  X  0  0  1  X  1 X+1  0  1 X+1 X+1 X+1  X  1  1  1  0  X
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  0  X  X  0  0  0  X  X  X  X  0  X  X  X  0  X  X  X  X  0  0  0  X  X  0  0  0  0  0  0  0  X  X  X  0  X  0  X  X  0  0  X  0  0  0  X  X  X  0  X  0  X  X
 0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  0  0  X  X  0  X  X  0  X  X  0  X  0  X  0  X  X  0  0  0  0  0  X  X  X  0  0  X  X  X  0  0  0  0  0  0  0  0  X  X  X  X  0  X  0  0  0  0  0  0  X  0  X  X  0  0  X  X  X  X  X  0  0
 0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  0  0  X  0  X  0  0  0  0  0  X  X  X  X  X  0  X  0  X  0  X  X  0  0  0  0  X  0  0  X  X  0  0  X  X  0  X  X  0  0  X  0  0  X  0  X  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  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+20x^74+52x^75+64x^76+72x^77+36x^78+50x^79+56x^80+18x^81+17x^82+20x^83+24x^84+10x^85+8x^86+2x^87+13x^88+12x^89+8x^90+4x^91+10x^93+2x^94+1x^96+6x^97+3x^98+2x^102+1x^104

The gray image is a linear code over GF(2) with n=160, k=9 and d=74.
This code was found by Heurico 1.16 in 0.109 seconds.