The generator matrix

 1  0  1  1  1  0  2  2  1
 0  1 11  6  5  1  0  8  0
 0  0 12  0  4  0  4  4  0
 0  0  0 12  4 12  4  0  0
 0  0  0  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  8  0

generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+77x^4+232x^5+655x^6+2144x^7+6435x^8+13680x^9+6435x^10+2144x^11+655x^12+232x^13+77x^14+1x^18

The gray image is a code over GF(2) with n=72, k=15 and d=16.
This code was found by Heurico 1.16 in 0.153 seconds.