The generator matrix

 1  0  1  1  1 12  2  1  1
 0  1  1  0 11  1 12  0  0
 0  0  2  6  0  2  2  0  0
 0  0  0 12  0  0  4  4  8
 0  0  0  0 12 12  0 12  8
 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+76x^4+248x^5+916x^6+3104x^7+14362x^8+28112x^9+14376x^10+3104x^11+916x^12+248x^13+68x^14+5x^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 0.59 seconds.