The generator matrix

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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+190x^58+40x^60+158x^62+11x^64+46x^66+4x^68+28x^70+4x^72+18x^74+4x^76+6x^78+2x^82

The gray image is a code over GF(2) with n=124, k=9 and d=58.
This code was found by Heurico 1.16 in 5.43 seconds.