The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+4x^58+16x^59+6x^60+2x^62+1x^64+2x^66

The gray image is a code over GF(2) with n=116, k=5 and d=58.
This code was found by Heurico 1.16 in 0.0332 seconds.