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  1  1  1  1
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  8  4  8  4  8  4  8  4  8  4  8  4  0 12  8  4  8  4  8  4  0  8 12  4  8  4  8  4  0  0  0
 0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  0
 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  8  0  8  0  8  0  0  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  8  0  8  8  0  8  0  0  8  8  0  8  0  8  0  0  0  0  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  0  8  8  0  8  0  0  8  0  8  8  8  8  8  0  0  8  0  0  0  8  0  8  0  0  0  8  8  0  8  8  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  8  0  0  8  8  0  8  8  0  8  0  0  8  0  0  8  8  8  8  0  0  8  8  8  8  0  8  0  8  0  0  0  0  8  0  8  0  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+63x^64+896x^67+63x^70+1x^134

The gray image is a code over GF(2) with n=536, k=10 and d=256.
This code was found by Heurico 1.16 in 0.253 seconds.