The generator matrix

 1  1  1  1  1  1  1  1  4
 0 12  0  0  0  4 12  4  8
 0  0 12  0  4  4  4  8  8
 0  0  0 12  4  8  4  4  0
 0  0  0  0  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+132x^6+334x^8+1024x^9+488x^10+48x^12+20x^14+1x^16

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 0.00413 seconds.