The generator matrix

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

generates a code of length 54 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+137x^48+202x^50+184x^52+134x^54+103x^56+82x^58+75x^60+46x^62+33x^64+12x^66+9x^68+4x^70+2x^72

The gray image is a code over GF(2) with n=108, k=10 and d=48.
This code was found by Heurico 1.10 in 0.078 seconds.