The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+37x^46+106x^47+146x^48+202x^49+198x^50+220x^51+294x^52+260x^53+222x^54+264x^55+282x^56+254x^57+233x^58+240x^59+280x^60+192x^61+145x^62+170x^63+129x^64+102x^65+48x^66+20x^67+18x^68+12x^69+12x^70+4x^71+2x^72+2x^73+1x^74

The gray image is a code over GF(2) with n=112, k=12 and d=46.
This code was found by Heurico 1.10 in 0.656 seconds.