The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^58+221x^60+128x^62+156x^64+90x^66+75x^68+62x^70+53x^72+20x^74+32x^76+14x^78+6x^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 1.10 in 595 seconds.