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 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4  0  4  4  0  0  4  4  0 12  4 12  8 12  8 12  8  8 12  8  8 12  8 12  8  4  8  8 12  4  8  8 12  4  8  8 12  4  8  8 12
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8  4 12  8  8  4 12  8 12  8  4  8 12  8  4  8  8  8  4  8  8 12  8  4 12  8  4 12  8 12  4  8  0 12  4  0  0 12  4  0  0 12  4  0  0 12  4
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  0  8
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  0  0  8  8  8  8  8  0  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  8

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 3.56 seconds.