The generator matrix

 1  1  1  1  1  1  1  1  2
 0 12  0  4  0  8 12 12  0
 0  0 12  4  0  4  4  8  0
 0  0  0  8  0  0  8  0  8
 0  0  0  0  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+52x^6+78x^8+768x^9+72x^10+48x^12+4x^14+1x^16

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 0.00207 seconds.