The generator matrix

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

generates a code of length 53 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+83x^48+118x^50+101x^52+80x^54+42x^56+38x^58+14x^60+14x^62+6x^64+4x^66+5x^68+2x^70+4x^72

The gray image is a code over GF(2) with n=106, k=9 and d=48.
This code was found by Heurico 1.10 in 0 seconds.