The generator matrix

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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+82x^52+179x^54+176x^56+140x^58+116x^60+107x^62+78x^64+55x^66+45x^68+20x^70+13x^72+9x^74+1x^76+2x^78

The gray image is a code over GF(2) with n=118, k=10 and d=52.
This code was found by Heurico 1.16 in 0.161 seconds.