The generator matrix

 1  0  1  1  1  0  2  2  1
 0  1 11 14  5  1  0  0  0
 0  0 12  4  0 12 12  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+160x^5+271x^6+960x^7+3267x^8+6976x^9+3267x^10+960x^11+271x^12+160x^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 0.0525 seconds.