The generator matrix

 1  0  1  1  1  0  1  1  2
 0  1  3  6  5  1  0  0  0
 0  0  8  0  0  0  0  0  8
 0  0  0  8  0  0  0  0  8
 0  0  0  0  8  0  0  0  8
 0  0  0  0  0  8  0  0  8
 0  0  0  0  0  0  8  0  8
 0  0  0  0  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+44x^4+96x^5+104x^6+896x^7+2958x^8+8256x^9+2832x^10+896x^11+188x^12+96x^13+8x^14+9x^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 0.0524 seconds.