The generator matrix

 1  1  1  1  1  1  1  1  2
 0 12  0  0  0  0  0  4  8
 0  0 12  0  0  0  4  0  8
 0  0  0 12  0  4  4  4 12
 0  0  0  0 12  4  0  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+128x^5+240x^6+512x^7+1758x^8+11008x^9+1632x^10+512x^11+324x^12+128x^13+48x^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 0.111 seconds.