The generator matrix

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

generates a code of length 17 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+3x^16+52x^17+4x^18+4x^21

The gray image is a code over GF(2) with n=136, k=6 and d=64.
This code was found by Heurico 1.16 in 0.00155 seconds.