The generator matrix

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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+104x^54+100x^56+112x^58+56x^60+38x^62+45x^64+10x^66+14x^68+18x^70+6x^72+6x^74+2x^76

The gray image is a code over GF(2) with n=118, k=9 and d=54.
This code was found by Heurico 1.10 in 1.75 seconds.