The generator matrix

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

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+88x^65+204x^66+294x^67+445x^68+546x^69+712x^70+968x^71+1008x^72+1152x^73+1333x^74+1498x^75+1714x^76+1714x^77+1758x^78+1892x^79+1857x^80+1944x^81+1911x^82+1770x^83+1822x^84+1558x^85+1424x^86+1240x^87+953x^88+772x^89+631x^90+534x^91+323x^92+242x^93+192x^94+108x^95+60x^96+44x^97+23x^98+16x^99+7x^100+4x^101+2x^102+1x^104+2x^106+1x^124

The gray image is a linear code over GF(2) with n=160, k=15 and d=65.
This code was found by Heurico 1.11 in 70 seconds.