The generator matrix

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

generates a code of length 63 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+100x^58+103x^60+114x^62+70x^64+32x^66+25x^68+18x^70+17x^72+16x^74+6x^76+8x^78+2x^84

The gray image is a code over GF(2) with n=126, k=9 and d=58.
This code was found by Heurico 1.10 in 0.015 seconds.