The generator matrix

 1  1  1  1  2  1  1  2  1
 0  2  0  0  2  4 14 10  0
 0  0  2  0  2  6  6  0  0
 0  0  0  2  2  2  4  2  0
 0  0  0  0  4  0  8 12  0
 0  0  0  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+133x^4+504x^5+1383x^6+4128x^7+12819x^8+27600x^9+12819x^10+4128x^11+1383x^12+504x^13+133x^14+1x^18

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 0.815 seconds.