The generator matrix

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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+194x^50+433x^52+460x^54+522x^56+538x^58+465x^60+452x^62+407x^64+306x^66+183x^68+96x^70+30x^72+2x^74+7x^76

The gray image is a code over GF(2) with n=118, k=12 and d=50.
This code was found by Heurico 1.10 in 1.41 seconds.