The generator matrix

 1  0  1  1  1  0  1  1  2
 0  1 11  6  1  1  3  3  8
 0  0 12  0  0  0  0  4  8
 0  0  0 12  0 12  4  4 12
 0  0  0  0  4  0  4  0  8
 0  0  0  0  0  8  0  8  8
 0  0  0  0  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+84x^4+192x^5+496x^6+4864x^7+11742x^8+30848x^9+11616x^10+4864x^11+580x^12+192x^13+48x^14+9x^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 0.666 seconds.