The generator matrix

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

generates a code of length 56 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+284x^46+579x^48+751x^50+936x^52+997x^54+1040x^56+1057x^58+1001x^60+769x^62+471x^64+228x^66+67x^68+10x^70+1x^104

The gray image is a code over GF(2) with n=112, k=13 and d=46.
This code was found by Heurico 1.10 in 8.39 seconds.