The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^4+254x^8+1536x^9+128x^10+84x^12+9x^16

The gray image is a code over GF(2) with n=72, k=11 and d=16.
This code was found by Heurico 1.16 in 0.00186 seconds.