The generator matrix

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

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+36x^63+134x^64+270x^65+451x^66+610x^67+805x^68+1106x^69+1213x^70+1638x^71+2032x^72+2286x^73+2620x^74+2820x^75+3194x^76+3452x^77+3788x^78+3972x^79+4014x^80+3964x^81+3921x^82+3926x^83+3493x^84+2980x^85+2767x^86+2352x^87+1870x^88+1502x^89+1199x^90+1008x^91+666x^92+460x^93+342x^94+240x^95+143x^96+90x^97+72x^98+36x^99+24x^100+18x^101+10x^102+2x^103+6x^104+1x^106+2x^108

The gray image is a linear code over GF(2) with n=160, k=16 and d=63.
This code was found by Heurico 1.11 in 274 seconds.