The generator matrix

 1  0  1  1  1  0  2  2  1
 0  1 11  6  5  1  8  8  0
 0  0 12  0  4  0  0  8  0
 0  0  0 12  4 12  4 12  0
 0  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  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+26x^4+164x^5+298x^6+1136x^7+2742x^8+7640x^9+2756x^10+1136x^11+298x^12+164x^13+18x^14+5x^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 0.0389 seconds.