The generator matrix

 1  0  0  1  1  1 10  1  1
 0  1  0  1  6  7  1  0  0
 0  0  1  1  3  2  1  0  0
 0  0  0 12  0  0  4  8  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+93x^4+384x^5+1342x^6+2880x^7+12905x^8+30336x^9+12884x^10+2880x^11+1363x^12+384x^13+78x^14+6x^16

The gray image is a code over GF(2) with n=72, k=16 and d=16.
This code was found by Heurico 1.16 in 0.442 seconds.