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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+510x^64+832x^66+128x^68+320x^70+256x^72+1x^128

The gray image is a code over GF(2) with n=536, k=11 and d=256.
This code was found by Heurico 1.16 in 33.7 seconds.