The generator matrix

 1  1  1  1  1  1  1  1  2
 0 12  0  0  0  4 12  4  0
 0  0 12  0  4  4 12  0  0
 0  0  0 12  4  0 12  4  0
 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+148x^4+560x^6+1374x^8+12288x^9+1248x^10+644x^12+112x^14+9x^16

The gray image is a code over GF(2) with n=72, k=14 and d=16.
This code was found by Heurico 1.16 in 0.109 seconds.