The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^4+320x^5+777x^6+1730x^7+5401x^8+16280x^9+5074x^10+1932x^11+848x^12+216x^13+101x^14+2x^15+4x^16

The gray image is a code over GF(2) with n=72, k=15 and d=16.
This code was found by Heurico 1.16 in 0.226 seconds.