The generator matrix

 1  1  1  1  2  2  2  1  1
 0  2  0  2  4  2  6  8  8
 0  0  2  2  2  6  0  0  0
 0  0  0  4  0  4  0  4  4
 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  8  0

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

Homogenous weight enumerator: w(x)=1x^0+68x^4+96x^5+548x^6+2432x^7+6570x^8+13376x^9+6504x^10+2432x^11+588x^12+96x^13+52x^14+5x^16

The gray image is a code over GF(2) with n=72, k=15 and d=16.
This code was found by Heurico 1.16 in 0.227 seconds.