the way to get 16th in player match is do the deranking glitch. but before that you have to be 15th in player match lvl 50.
how to do deranking glitch
1 - Invite your friend/victim to a player match and Xbox Live Party
2 - tell him/her to go to there playercard - leaderboards - SnD
3 - Tell him/her to hit Y to change filter
4 -You change the Lobby to Combat Training
5 - Tell your victim to open up the xbox live party and click on
your profile then view CoD PlayerCard
6 - Tell him to keep pressing B until he gets to his PlayerCard and go down to Prestige Mode
7 - Tell him to go through all of the steps EXCEPT "ENTER PRESTIGE"
8 - Change to Player Match and tell him to Enter Prestige

-FuLLeR- wrote the way to get 16th in player match is do the deranking glitch. but before that you have to be 15th in player match lvl 50.
how to do deranking glitch
1 - Invite your friend/victim to a player match and Xbox Live Party
2 - tell him/her to go to there playercard - leaderboards - SnD
3 - Tell him/her to hit Y to change filter
4 -You change the Lobby to Combat Training
5 - Tell your victim to open up the xbox live party and click on
your profile then view CoD PlayerCard
6 - Tell him to keep pressing B until he gets to his PlayerCard and go down to Prestige
Mode
7 - Tell him to go through all of the steps EXCEPT "ENTER PRESTIGE"
8 - Change to Player Match and tell him to Enter Prestige

woah... you made it really detailed.. lol..

It still works because i saw a 16th prestige not 2 long ago