The generator matrix

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

generates a code of length 58 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+107x^50+287x^52+343x^54+243x^56+233x^58+227x^60+203x^62+194x^64+98x^66+58x^68+34x^70+14x^72+6x^74

The gray image is a code over GF(2) with n=116, k=11 and d=50.
This code was found by Heurico 1.10 in 0.187 seconds.