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  2  1  1  2  1  1  2  1  1  2  2  1  1  2  2  4  2  2  1  2  1  4  2  2  1  2  4  8  4  0  2  2  4  4  4  8  8  0  2  1  8  4
 0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  8  0  8  8  0  8  8  0  8  8  0  0  8  0  8  8  0  8  0  0  8  8  8  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  0  8  0  0

generates a code of length 64 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+30x^66+1x^68

The gray image is a code over GF(2) with n=512, k=5 and d=264.
This code was found by Heurico 1.16 in 0.113 seconds.