The generator matrix

 1  1  1  1  2  2  2  2  1
 0  2  0 14  6  6  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+61x^4+32x^5+223x^6+576x^7+1251x^8+3904x^9+1251x^10+576x^11+223x^12+32x^13+61x^14+1x^18

The gray image is a code over GF(2) with n=72, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0202 seconds.