The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+235x^52+384x^54+522x^56+448x^58+534x^60+482x^62+479x^64+388x^66+283x^68+184x^70+110x^72+28x^74+12x^76+6x^78

The gray image is a code over GF(2) with n=122, k=12 and d=52.
This code was found by Heurico 1.16 in 3 seconds.