The generator matrix

 1  1  1  1  1  1  2  1  1
 0  8  0  0  0  0  8  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  0

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

Homogenous weight enumerator: w(x)=1x^0+15x^4+53x^8+384x^9+32x^10+21x^12+6x^16

The gray image is a code over GF(2) with n=72, k=9 and d=16.
This code was found by Heurico 1.16 in 0.000473 seconds.