The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+45x^52+230x^54+162x^56+164x^58+98x^60+88x^62+93x^64+68x^66+27x^68+18x^70+16x^72+8x^74+6x^76

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 0.143 seconds.