The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  0  0  0  0  0  0  0  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  0  0  0
 0  2  0  0  0  2  2  2  0  0  0  2  0  2  2  2  0  0  0  2  0  2  2  2  0  0  2  2  0  2  2  2  2  2  2  0  0  0  0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  2  2  2
 0  0  2  0  2  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  2  2  0  2  2  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  0  0  2
 0  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  0  2  2

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

Homogenous weight enumerator: w(x)=1x^0+12x^58+12x^60+4x^62+3x^64

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 0.0262 seconds.