The generator matrix

 1  0  1  1  1  4  2  2  1
 0  1  1  0  3  1  4  4  0
 0  0  2  0  2  4  0  4  0
 0  0  0  2  2  6  2  6  0
 0  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+90x^4+308x^5+1354x^6+5232x^7+12886x^8+25784x^9+12900x^10+5232x^11+1354x^12+308x^13+82x^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 0.549 seconds.