The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^4+362x^5+718x^6+1722x^7+5707x^8+15636x^9+5716x^10+1540x^11+1005x^12+194x^13+94x^14+2x^15+4x^16

The gray image is a code over GF(2) with n=72, k=15 and d=16.
This code was found by Heurico 1.16 in 0.207 seconds.