The generator matrix

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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+4x^65+6x^66+4x^67+1x^68

The gray image is a code over GF(2) with n=124, k=4 and d=65.
This code was found by Heurico 1.16 in 0.0318 seconds.