The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  2  2  1  1  1  1  2  2  2  2  1  4  1  0  2  2  4  8  1  1  4  2  2  2  2  1  4  0  4  8  1  8  4  0  2  4  2  1  1  8  4
 0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4 12  4  0 12  8  4 12  4  0  8 12  4  0  8 12  4  0 12  8  4  0  8  4  4 12  4  8  0  8 12  4  0 12  4  4  4  8  8  0  8  0  8  8 12  4  0  0

generates a code of length 67 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+62x^68+1x^72

The gray image is a code over GF(2) with n=536, k=6 and d=272.
This code was found by Heurico 1.16 in 0.222 seconds.