The generator matrix

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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+179x^48+434x^50+461x^52+480x^54+559x^56+516x^58+507x^60+370x^62+279x^64+182x^66+80x^68+34x^70+14x^72

The gray image is a code over GF(2) with n=114, k=12 and d=48.
This code was found by Heurico 1.10 in 0.687 seconds.