The generator matrix

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

generates a code of length 55 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+35x^48+80x^49+83x^50+86x^51+84x^52+86x^53+86x^54+84x^55+70x^56+54x^57+42x^58+42x^59+38x^60+18x^61+33x^62+32x^63+18x^64+12x^65+10x^66+12x^67+10x^68+4x^69+1x^70+2x^73+1x^74

The gray image is a code over GF(2) with n=110, k=10 and d=48.
This code was found by Heurico 1.10 in 0.047 seconds.