The generator matrix

 1  1  1  1  2  8  8  1  1
 0  2  0  2 10  2  4  0  8
 0  0  2  2  6  4  2  4  8

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

Homogenous weight enumerator: w(x)=1x^0+12x^6+84x^7+199x^8+472x^9+138x^10+84x^11+32x^12+2x^14

The gray image is a code over GF(2) with n=72, k=10 and d=24.
This code was found by Heurico 1.16 in 0.00205 seconds.