The generator matrix

 1  0  1  1  1 14  2  2  1
 0  1 11  6  5  1  6 14  8
 0  0 12  0  4  8  4  4  8
 0  0  0 12  4 12 12  8 12

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

Homogenous weight enumerator: w(x)=1x^0+86x^6+224x^7+1065x^8+1344x^9+1065x^10+224x^11+86x^12+1x^18

The gray image is a code over GF(2) with n=72, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0103 seconds.