The generator matrix

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

generates a code of length 79 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+60x^64+298x^66+630x^68+990x^70+1303x^72+1480x^74+1640x^76+1756x^78+1846x^80+1752x^82+1550x^84+1206x^86+793x^88+582x^90+308x^92+118x^94+53x^96+8x^98+7x^100+2x^102+1x^116

The gray image is a code over GF(2) with n=158, k=14 and d=64.
This code was found by Heurico 1.10 in 17.3 seconds.