The generator matrix

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

generates a code of length 58 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+162x^46+601x^48+978x^50+1404x^52+1798x^54+2097x^56+2154x^58+2288x^60+1878x^62+1438x^64+878x^66+422x^68+194x^70+63x^72+22x^74+5x^76+1x^92

The gray image is a code over GF(2) with n=116, k=14 and d=46.
This code was found by Heurico 1.10 in 12 seconds.