The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  2  1  1  1  1  0  1  2  1  1  1  0  1  1  0  1  2  1  0  1  1  1  1  2  1  1  1  1  2  1  0  1  0  1  1  1  2  1  1  1  1  1  1  1  1  0  1  2
 0  1  1  0  1  1  0  1  1  2  3  1  1  0  3  0  3  1  3  1  2  0  3  1  3  0  1  0  1  3  1  3  0  0  2  1  2  3  3  0  1  2  1  2  1  1  1  1  1  0  0  1  1  2  0  3  2  1  0  0
 0  0  2  0  0  0  0  0  0  0  2  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  2  2  0  0  2  0  2  0  2  0  2  2  0  0  2  2  2  0  0  2  2  2  2  0  2  2  0  2  2  2  2
 0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  0  2  2  2  2  2  2  2  2  0  2  2  0  0  0  2  0  2  0  2  2  2  2  0  0  2  2  2  2  2  0  2  0  0  0  2  2  2  2  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  2  2  2  2  0  2  2  2  2  2  0  2  2  2  0  2  0  2  2  0  2  2  2  2  2  0  2  2  2  2  2  0  0  0  2  0  2  2  2  0  2  0  0  0  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  2  0  0  2  0  2  0  2  0  2  0  0  0  2  2  2  2  0  2  0  2  2  0  2  0  0  2  2  2  0  2  0  2  2  0  0  2  0  2  0  0  2  0  0  0  2  0  2  0  2  2  2
 0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  0  2  0  2  0  2  2  2  2  0  0  0  0  2  2  2  0  2  2  0  2  0  0  2  0  0  2  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  0  0  2
 0  0  0  0  0  0  0  2  2  0  2  0  2  2  2  0  0  2  0  2  2  2  0  2  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  2  2  0  0  0  2  0  2  2  0  2  0  0  0  2  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+90x^52+68x^54+195x^56+108x^58+143x^60+92x^62+142x^64+116x^66+45x^68+9x^72+9x^76+5x^80+1x^84

The gray image is a code over GF(2) with n=120, k=10 and d=52.
This code was found by Heurico 1.16 in 0.19 seconds.