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.