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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+352x^62+766x^64+704x^66+224x^70+1x^128

The gray image is a code over GF(2) with n=520, k=11 and d=248.
This code was found by Heurico 1.16 in 24.3 seconds.