The generator matrix

 1  1  1  1  2  2  2  2  1
 0  2  0  2  0 10  6  0  0
 0  0  2  2  2  2  4  4  0
 0  0  0  4  0  8  4  4  0
 0  0  0  0  4  4  0  8  0

generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+38x^4+142x^5+387x^6+1404x^7+2935x^8+6612x^9+2838x^10+1456x^11+416x^12+110x^13+39x^14+4x^15+2x^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 0.0606 seconds.