The generator matrix
1 1 1 1 1 1 2 1 1
0 12 0 0 0 0 12 0 8
0 0 12 0 0 0 4 8 8
0 0 0 12 0 0 4 8 0
0 0 0 0 12 0 4 4 4
0 0 0 0 0 12 4 4 12
generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+113x^4+546x^6+2417x^8+10240x^9+2396x^10+567x^12+98x^14+6x^16
The gray image is a code over GF(2) with n=72, k=14 and d=16.
This code was found by Heurico 1.16 in 0.116 seconds.