The generator matrix

 1  0  0  0  1  1  1 12  1
 0  1  0  0  4  1  5  2  0
 0  0  1  0  5  3  6  1  4
 0  0  0  1  1  2  3  2  2
 0  0  0  0  8  0  8  8  8

generates a code of length 9 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+134x^5+1478x^6+7368x^7+28729x^8+55652x^9+28729x^10+7368x^11+1478x^12+134x^13+1x^18

The gray image is a code over GF(2) with n=72, k=17 and d=20.
This code was found by Heurico 1.16 in 6.83 seconds.