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

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

Homogenous weight enumerator: w(x)=1x^0+256x^62+1022x^64+512x^66+256x^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 0.403 seconds.