The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^46+82x^47+141x^48+230x^49+265x^50+322x^51+377x^52+408x^53+485x^54+532x^55+507x^56+508x^57+523x^58+492x^59+503x^60+472x^61+465x^62+418x^63+397x^64+326x^65+222x^66+178x^67+108x^68+96x^69+62x^70+24x^71+13x^72+8x^73+2x^74+1x^88

The gray image is a code over GF(2) with n=116, k=13 and d=46.
This code was found by Heurico 1.10 in 3.1 seconds.