The generator matrix
1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 1 1 1 0 X 1 0 X 1 0 1 X 1 X 1 1 0 X X 1 1 0 X 0 1 1 0 1 1 1 1 1 X 1 1 X 1 1 0 1 X X 1 1 1 X X 1 1 1 X X X 0 1 1 1 1 1 1 0 X X 0 1
0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 0 X X 1 X+1 0 1 1 1 X+1 1 0 X X+1 X 1 1 1 0 X 0 1 0 X+1 X+1 X 1 X X+1 X+1 0 1 X+1 X X 1 0 1 1 X 0 X+1 1 0 1 0 X+1 X X+1 0 0 0 X X X+1 X+1 1 1 1 1 1 1 0 X+1
0 0 1 0 0 1 1 1 X 1 X+1 1 1 X 0 X+1 1 X 0 X+1 X+1 1 1 0 X 0 X 0 1 X+1 0 X+1 X+1 X X X+1 1 0 0 X 0 0 1 1 X 0 X 1 X+1 X 1 1 X+1 X+1 1 0 1 0 1 0 X 1 1 X+1 X 1 1 1 1 X+1 X+1 1 X 0 1 0 1 0 1 X
0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X X X+1 0 1 0 X+1 1 1 X+1 0 X 1 1 X X+1 0 X X+1 X X+1 X 0 X 1 0 X+1 1 0 1 0 1 1 1 1 X+1 1 0 X+1 X+1 X 1 X+1 X 1 1 X 1 X X 0 1 1 X+1 X+1 X+1 X 0 0 1 X+1 0 X+1 1 0 X+1
0 0 0 0 X 0 0 0 0 0 0 X X X X X X X X X 0 X X 0 X X X X 0 X X 0 0 X 0 X X 0 X 0 X X X X X 0 0 X X X 0 0 X 0 X 0 X 0 0 0 X X 0 0 X X X 0 0 X 0 0 0 0 X 0 0 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 X X X X X X X X X 0 X 0 0 X X X X 0 0 X X X X 0 0 0 0 X 0 X X X 0 X 0 0 X X 0 X X 0 X 0 X X X 0 X 0 X 0 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 X X X X X X X X X X X X X X X X X X X X X X 0 X X X X 0 X 0 X 0 X X 0 0 X 0 X X X 0 X X X
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+199x^72+254x^74+336x^76+248x^78+276x^80+164x^82+138x^84+110x^86+109x^88+76x^90+70x^92+34x^94+23x^96+10x^98
The gray image is a linear code over GF(2) with n=160, k=11 and d=72.
This code was found by Heurico 1.16 in 59.1 seconds.