The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^6+296x^7+709x^8+1968x^9+698x^10+296x^11+58x^12+7x^14

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 0.0102 seconds.