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

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

Homogenous weight enumerator: w(x)=1x^0+120x^64+6x^72+1x^80

The gray image is a code over GF(2) with n=512, k=7 and d=256.
This code was found by Heurico 1.16 in 0.161 seconds.