The generator matrix

 1  0  1  1  1  6  2  2  1
 0  1 11  6 13  1  8  4  0
 0  0 12  0  4  8  4  4  0
 0  0  0  8  8  8  0  8  8

generates a code of length 9 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+46x^6+80x^7+593x^8+608x^9+593x^10+80x^11+46x^12+1x^18

The gray image is a code over GF(2) with n=72, k=11 and d=24.
This code was found by Heurico 1.16 in 0.00319 seconds.