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

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

Homogenous weight enumerator: w(x)=1x^0+8x^65+3x^66+3x^68+1x^70

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 0.0497 seconds.