The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^17+2x^18+6x^19+1x^20

The gray image is a code over GF(2) with n=136, k=5 and d=68.
This code was found by Heurico 1.16 in 0.00149 seconds.