The generator matrix

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

generates a code of length 58 over Z4 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+8x^61+4x^62+3x^64

The gray image is a code over GF(2) with n=116, k=4 and d=61.
This code was found by Heurico 1.16 in 0.0261 seconds.