I am not with Laminar Research; just a flight simmer from down under.
I also have the disc version of X-Plane 10 like you. There is no activation code with the disc version. You have to have disc 1 installed in your disc drive at all times. The same applies for X-Plane 11 disc version
To preserve the integrity of all of my discs I purchased a "home use" USB dongle from Laminar Research as a substitute for Disc 1. I works without any problems.
If you think your disc is damaged then contact Laminar Research to arrange a possible replacement at email@example.com