The generator matrix

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

generates a code of length 55 over Z4 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+72x^47+111x^48+126x^49+154x^50+138x^51+140x^52+156x^53+150x^54+126x^55+119x^56+102x^57+112x^58+108x^59+89x^60+90x^61+74x^62+54x^63+47x^64+30x^65+18x^66+14x^67+3x^68+6x^69+4x^70+2x^72+2x^73

The gray image is a code over GF(2) with n=110, k=11 and d=47.
This code was found by Heurico 1.10 in 0.172 seconds.