The generator matrix

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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+15x^64+32x^65+16x^66

The gray image is a code over GF(2) with n=128, k=6 and d=64.
This code was found by Heurico 1.16 in 0.0422 seconds.