The generator matrix

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

generates a code of length 60 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+112x^52+317x^54+291x^56+247x^58+264x^60+229x^62+186x^64+153x^66+125x^68+66x^70+38x^72+12x^74+7x^76

The gray image is a code over GF(2) with n=120, k=11 and d=52.
This code was found by Heurico 1.16 in 0.539 seconds.