The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^52+218x^54+155x^56+122x^58+95x^60+92x^62+65x^64+52x^66+32x^68+20x^70+7x^72+6x^74+1x^76+2x^78

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 0.283 seconds.