The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+100x^50+489x^52+702x^54+915x^56+928x^58+969x^60+1038x^62+990x^64+830x^66+592x^68+368x^70+189x^72+62x^74+13x^76+4x^78+1x^80+1x^84

The gray image is a code over GF(2) with n=122, k=13 and d=50.
This code was found by Heurico 1.10 in 3.41 seconds.