Petals Around the Rose

This is a highly obnoxious and totally frustrating brain teaser that apparently made even Bill Gates sweat out the answer.

There are only a couple of instructions to solving the puzzle:

1. The name of the game is significant
   
2. Each answer is an even number

I took me a couple of hours, total, but that was checking back every 10 minutes or so to try again, so it really only took me about 30 minutes of actual logic time.

If you figure it out, don't indicate the answer in Comments but do let me know if you got it. You can then be inducted into the Fraternity of Petals Around the Rose

Give it a try!

(Hat Tip: Master of None)