The generator matrix

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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+168x^58+191x^60+172x^62+149x^64+76x^66+78x^68+56x^70+60x^72+24x^74+27x^76+12x^78+6x^80+4x^82

The gray image is a code over GF(2) with n=128, k=10 and d=58.
This code was found by Heurico 1.16 in 16.8 seconds.