The generator matrix

1 0 0 0 0 0 0 1 1 1 2 0 0 2 0 0 1 1 1 0 2 1 2 1 0 1 0 1 2 1 1 2 2 1 1 0 2 1 1 2 0 1 1 1 1 1 1 0 1 2 1 2 0 2 1 2 1 2 1 2 0 0 1 1 0 1 2 1 0 0 2 0 2 1 2 1 1 2 1 1
0 1 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 3 2 1 2 0 1 3 1 0 0 3 1 3 2 2 1 1 0 1 1 3 0 0 0 3 3 3 0 0 2 1 0 0 0 1 1 1 2 1 1 1 3 1 2 0 2 2 2 0 1 3 1 1 1 0 1 1 1 1 1 0 0 0
0 0 1 0 0 0 0 0 0 0 0 0 1 3 3 0 1 3 1 2 2 3 2 0 3 3 1 2 3 2 1 1 1 3 2 0 1 0 3 1 2 1 2 0 2 3 2 2 1 0 3 2 3 2 1 2 2 1 3 2 1 1 2 0 1 1 2 1 0 3 0 2 0 2 0 3 2 2 0 0
0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 3 1 3 1 2 1 1 2 0 3 1 3 2 2 3 2 1 0 2 1 0 1 0 2 0 2 3 1 0 1 1 2 1 1 1 1 1 1 0 2 2 0 3 0 3 3 0 3 1 0 3 1 0 2 0 2 0 0 1 0 0
0 0 0 0 1 0 0 0 1 1 1 2 0 1 1 1 0 3 0 0 3 3 2 3 3 1 2 0 0 2 3 1 2 2 0 1 2 1 0 1 2 2 3 3 3 2 0 1 2 0 0 1 0 1 3 3 1 1 2 1 3 2 0 2 1 2 2 3 3 0 1 0 2 3 3 2 2 3 1 0
0 0 0 0 0 1 0 1 0 1 3 2 0 3 1 1 0 3 3 3 2 0 2 2 0 2 1 1 1 0 1 2 1 3 0 1 0 1 2 1 2 2 2 1 3 0 0 3 1 1 2 0 1 1 2 0 1 2 3 3 3 0 0 0 2 2 0 0 0 1 0 2 2 1 0 3 2 2 1 0
0 0 0 0 0 0 1 1 3 2 1 1 1 2 1 0 2 0 0 2 3 2 1 1 2 3 2 1 2 1 0 1 3 2 1 0 2 1 3 2 3 0 0 0 3 0 0 2 3 3 0 2 3 1 0 3 3 0 3 2 3 3 2 2 0 3 2 0 1 3 0 1 3 2 0 0 0 0 0 0
0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 2 0 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 0

generates a code of length 80 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+52x^64+70x^65+210x^66+270x^67+534x^68+564x^69+736x^70+840x^71+1037x^72+1218x^73+1334x^74+1450x^75+1538x^76+1748x^77+1731x^78+2050x^79+1822x^80+2002x^81+1947x^82+1810x^83+1636x^84+1496x^85+1366x^86+1210x^87+1074x^88+778x^89+657x^90+442x^91+370x^92+272x^93+180x^94+106x^95+93x^96+44x^97+27x^98+12x^99+34x^100+2x^102+2x^103+1x^104+1x^106+1x^110

The gray image is a code over GF(2) with n=160, k=15 and d=64.
This code was found by Heurico 1.10 in 142 seconds.