How to contact Apple Support for forgotten pass code on iPhone 5?

So all my friends saw me type in my passcode on my iphone 5 so I changed it.
However, I'm an idiot and I forgot it.
I tried it so many times and I just can't get it.
I don't want to jail brake my phone or restore it. I have very important data in there.
Can I contact apple support and they verify it's me by asking the apple ID questions or something and they can take off the passcode or give me a me one?

Google

Connect to iTunes on the computer you usually Sync with and Restore…

http://support.apple.com/.../kb/HT1414

If necessary Place the Device into Recovery mode…

http://support.apple.com/...b/HT180811