The generator matrix

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

generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+82x^4+256x^5+1117x^6+3986x^7+12857x^8+28904x^9+12922x^10+3964x^11+1104x^12+264x^13+73x^14+2x^15+4x^16

The gray image is a code over GF(2) with n=72, k=16 and d=16.
This code was found by Heurico 1.16 in 0.917 seconds.