The generator matrix

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

generates a code of length 56 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+115x^48+255x^50+307x^52+317x^54+246x^56+211x^58+221x^60+149x^62+109x^64+80x^66+20x^68+10x^70+5x^72+2x^74

The gray image is a code over GF(2) with n=112, k=11 and d=48.
This code was found by Heurico 1.16 in 0.51 seconds.