The generator matrix

 1  0  1  1  1  8  2  1  1
 0  1 11  6  1  1  0  3  0
 0  0 12  0  0  8  4  4  0
 0  0  0 12  0 12  0  8  0
 0  0  0  0  4  8  4 12  0

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

Homogenous weight enumerator: w(x)=1x^0+22x^4+94x^5+275x^6+1084x^7+3319x^8+6836x^9+3222x^10+1136x^11+304x^12+62x^13+23x^14+4x^15+2x^16

The gray image is a code over GF(2) with n=72, k=14 and d=16.
This code was found by Heurico 1.16 in 0.0397 seconds.