The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+353x^48+621x^52+500x^56+354x^60+184x^64+33x^68+2x^72

The gray image is a code over GF(2) with n=110, k=11 and d=48.
This code was found by Heurico 1.16 in 5.77 seconds.