You could post a recent kernel panic report, they are found via Applications / Utilities / Console or you can go to Macintosh HD / Library / Logs / panic.log.
I had them when I first installed my 8GB of Ram as well, but they went away after a month or so without me doing anything. I know it sounds strange but is it possible the machine will adapt to the 16 gb RAM the same way it did with the 8 gigs?
Sorry to bring you bad news but I'm sure it is bad ram. I have done two upgrades for friends in the past two weeks and I had the exact same situation.
I did not remove the modules but I did boot Hiren's BootCD and ran memtest+ on both machines. After a few hours on the first one the memory started to test bad. The other was a bit quicker.
The owners each RMA'd the ram for new. We put the replacements in and they ran without a problem. Both memtest+ for 24 hours as well as just using the machines. No errors detected by memtest+ and the KPs went away.
Only one more thing here. When I upgraded mynimac to 16GB, I found that it requires a lot mother effort than you migh think to properly seat the new modules. I too had kernel panics, and I removed the new ram and reseated it until I heard a loud click. Problem solved.
If that fails to correct the issue then bad RAM is very likely the culprit.