The generator matrix

 1  1  1  1  2  2  1  2  1
 0  2  0  2  4  2 14 14  8
 0  0  2  2  2  6  4  0  0
 0  0  0  4  0  4  8  4  4
 0  0  0  0  8  8  8  8  0

generates a code of length 9 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+30x^5+152x^6+714x^7+1374x^8+3628x^9+1408x^10+724x^11+128x^12+22x^13+8x^14+2x^15+1x^16

The gray image is a code over GF(2) with n=72, k=13 and d=20.
This code was found by Heurico 1.16 in 0.035 seconds.