The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1  6  1  1 10  1  1  4  1  1  1  0  1  2  1  1  1  1 12 14  1  1  1  1  1  1  1  1  0 14 12  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 11 14  5  1 12  7  1  2  9  1  8  3  1  6 13  1  4 15  1 10  1  1  0 14  3  1  1  1 12  2 15 13  1  1  0 14 12  2  3 13 15  1  1  1  1  1  8  8  6  6  8  6  0 10 10  4 10  4 14  4 12  0
 0  0 12  4  8 12  8  4  8 12  0  4  4  0 12  0 12  8 12  8  0  8  4  4  8 12  8  8 12 12  0  4  0  4  0  4 12  8  4  0  4  0 12  8  4  0 12  8  8  0 12  4 12  8  4  0 12  8  4  4  0  0 12  0

generates a code of length 64 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+264x^62+96x^63+301x^64+96x^65+264x^66+2x^96

The gray image is a code over GF(2) with n=512, k=10 and d=248.
This code was found by Heurico 1.16 in 0.151 seconds.