The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+160x^46+592x^48+1002x^50+1455x^52+1696x^54+2083x^56+2216x^58+2279x^60+1876x^62+1419x^64+900x^66+439x^68+194x^70+48x^72+18x^74+3x^76+2x^78+1x^104

The gray image is a code over GF(2) with n=116, k=14 and d=46.
This code was found by Heurico 1.16 in 60.5 seconds.