The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+19x^16+16x^17+20x^18+8x^19

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 0.00179 seconds.