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  1  1
 0  2 12  6  0  6 12 10  0  6 10 12  0  6 12  2  0  6 12 10  0  6 12  2  0  6  0  6 12 10 12  2  8 14  8 14  8  8 14 14  8  8 14 14  8 14  8 14  4  4  4  4 10 10 10 10  4  4  2  2  4  4  2  2
 0  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  8  8  0  0  8  0  8  8  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  8  0  0  0  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  8  8  8  0  0  0  8  0  0  8  8  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  0  0  0  0  8  0  8  8  8  0  8  8
 0  0  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  8  0  0  8  8  8  0  8  0  0  8  0  8  8  8  0  0  0  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+1022x^64+1x^128

The gray image is a code over GF(2) with n=512, k=10 and d=256.
This code was found by Heurico 1.16 in 0.294 seconds.