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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+16x^62+15x^64

The gray image is a code over GF(2) with n=122, k=5 and d=62.
This code was found by Heurico 1.16 in 0.0381 seconds.