The generator matrix

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

generates a code of length 58 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+171x^52+166x^54+188x^56+124x^58+107x^60+84x^62+68x^64+48x^66+33x^68+22x^70+6x^72+4x^74+1x^76+1x^80

The gray image is a code over GF(2) with n=116, k=10 and d=52.
This code was found by Heurico 1.16 in 12 seconds.