The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^58+184x^60+206x^62+130x^64+104x^66+70x^68+54x^70+24x^72+42x^74+26x^76+12x^78+13x^80+2x^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 3.06 seconds.