The generator matrix

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

generates a code of length 79 over Z4 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+16x^63+82x^64+198x^65+298x^66+494x^67+621x^68+718x^69+903x^70+1024x^71+1161x^72+1282x^73+1355x^74+1582x^75+1783x^76+1872x^77+1905x^78+1918x^79+1965x^80+1904x^81+1834x^82+1722x^83+1594x^84+1334x^85+1209x^86+1000x^87+791x^88+686x^89+424x^90+358x^91+274x^92+152x^93+107x^94+74x^95+40x^96+42x^97+24x^98+4x^99+7x^100+4x^101+4x^102+1x^106+1x^124

The gray image is a code over GF(2) with n=158, k=15 and d=63.
This code was found by Heurico 1.10 in 67.9 seconds.