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  8  1  1  1  1  1  1  1  1  1  1
 0  2  0  6  4 14 12  2  4  6  8 10  8 14 12 10  0  6 12 10  8  6  2  4 12  6  0  6  8 10  4  2  0  6  0 14  4  4 10 10 14  6  0  0 12 12  2  2  0 12  8 12  8 12  8  0 12  6 14  2  2  2  2 14  6
 0  0 12  0  4  4  0  4 12  0  4  0  0 12  0 12  8  8  8  8  4 12  4 12  4  8  8  4 12 12  8  8  0  0 12  0 12  0  8  8  4 12  8 12 12  8  4 12  0  4  8  4  4  0  0  4  8  8  8  4 12  0  0 12  4
 0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0  0  8  0  8  8  0  0  8  8  0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  0  0  8  8  0  0  8  0  0  0  8  0  0  0  0  8  8  8  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0  0  8  8  0  8  0  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  0  8  8  0  0  8  0  8  8  0  0  0  0  8  8  8  0  8  0  0  8  8  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 0.382 seconds.