The generator matrix

 1  1  1  1  2  0  2  2  1
 0  2  0  2  2  2  4  0  0
 0  0  2  2  6 12  2  0  0
 0  0  0  8  0  0  0  8  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+45x^4+224x^5+303x^6+896x^7+4259x^8+4928x^9+4259x^10+896x^11+303x^12+224x^13+45x^14+1x^18

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 0.0719 seconds.