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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+63x^60+128x^62+63x^64+1x^124

The gray image is a code over GF(2) with n=124, k=8 and d=60.
This code was found by Heurico 1.16 in 0.0674 seconds.