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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+63x^62+896x^63+63x^64+1x^126

The gray image is a code over GF(2) with n=504, k=10 and d=248.
This code was found by Heurico 1.16 in 43.2 seconds.