The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^58+64x^60+48x^62+47x^64+32x^66+16x^68+1x^122

The gray image is a code over GF(2) with n=124, k=8 and d=58.
This code was found by Heurico 1.16 in 0.069 seconds.