The generator matrix

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

generates a code of length 80 over Z2[X]/(X^2) who�s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+43x^72+54x^73+45x^74+112x^75+84x^76+62x^77+96x^78+76x^79+61x^80+68x^81+51x^82+30x^83+26x^84+32x^85+26x^86+12x^87+27x^88+18x^89+21x^90+16x^91+10x^92+18x^93+14x^94+8x^95+4x^96+4x^97+3x^98+2x^99

The gray image is a linear code over GF(2) with n=160, k=10 and d=72.
This code was found by Heurico 1.16 in 0.277 seconds.