The generator matrix

 1  0  0  1  1  1 14  8  1
 0  1  0  1 12 13  1  2  0
 0  0  1  1  0  3  2  1  0
 0  0  0  2  6  4  6  6  0

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

Homogenous weight enumerator: w(x)=1x^0+156x^5+590x^6+2016x^7+6577x^8+14088x^9+6577x^10+2016x^11+590x^12+156x^13+1x^18

The gray image is a code over GF(2) with n=72, k=15 and d=20.
This code was found by Heurico 1.16 in 0.531 seconds.