The generator matrix

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

generates a code of length 63 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+132x^52+470x^54+772x^56+852x^58+876x^60+1000x^62+1042x^64+934x^66+905x^68+564x^70+334x^72+194x^74+94x^76+14x^78+3x^80+4x^82+1x^84

The gray image is a code over GF(2) with n=126, k=13 and d=52.
This code was found by Heurico 1.10 in 3.56 seconds.