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  1  1  1  1  2  2  1  1  1  2  2  1  2  2  4  0  2  2  4  8  1  1  4  1  2  2  1  2  2  4  4  0  8  4  8  0  2  4  2  4  8  1
 0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4 12  4  0 12  8  4 12  4  0  8 12  0  8  4 12  4 12  4  0  8  4  4  0  8  8 12  0  8  4 12  4 12  4  4  4  0  8  8  0  8  8  0  0  0

generates a code of length 64 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+3x^64+56x^65+4x^66

The gray image is a code over GF(2) with n=512, k=6 and d=256.
This code was found by Heurico 1.16 in 0.135 seconds.