The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+158x^52+454x^54+736x^56+808x^58+1008x^60+924x^62+1083x^64+892x^66+888x^68+586x^70+393x^72+156x^74+73x^76+20x^78+10x^80+1x^88+1x^92

The gray image is a code over GF(2) with n=126, k=13 and d=52.
This code was found by Heurico 1.16 in 9.61 seconds.