The generator matrix

 1  0  1  1  1 12  2  1  1
 0  1  1 12 11  1  4  0  0
 0  0  2  6  4  6  2  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  0  0

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

Homogenous weight enumerator: w(x)=1x^0+87x^4+128x^5+640x^6+864x^7+2861x^8+7232x^9+2840x^10+864x^11+661x^12+128x^13+72x^14+6x^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 0.0367 seconds.