The generator matrix

 1  0  1  1  1  6  1  1  1
 0  1 11  6  5  1 13  3 11
 0  0 12  0  0  8  4  8  4
 0  0  0  8  0  8  8  0  0
 0  0  0  0  8  0  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+60x^6+144x^7+1094x^8+1504x^9+1088x^10+144x^11+56x^12+4x^14+1x^16

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 0.00905 seconds.