The generator matrix

 1  1  1  1  1  1  1  1  2  1
 0  2  0  6  0  6 12 14  0  0
 0  0 12  0  0  4 12  4  0  0
 0  0  0 12 12  4 12  0  0  0
 0  0  0  0  8  0  0  0  8  0
 0  0  0  0  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  8  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+84x^4+152x^5+264x^6+952x^7+974x^8+2992x^9+21944x^10+2992x^11+932x^12+952x^13+312x^14+152x^15+57x^16+8x^18

The gray image is a code over GF(2) with n=80, k=15 and d=16.
This code was found by Heurico 1.16 in 0.25 seconds.