If yours has SAI (secondary air injection) then you'd use the 20310 tune. If not, the 20363 tune. They called even the pre order bikes in mid '09 "'10's". So i'm not sure when yours was made, in '09 or '10. Supposedly in '10, which is the official 1st production year even tho the first run was mid '09, they did away with the SAI. I can't tell by the tune you said you have whether it's a tune with or w/o SAI, but i assume since you know the number you must have tuneecu, right? if so, look at the tune and see if SAI is checked or unchecked. If checked use the 20310 tune, if unchecked use 20363.
The reason i can't tell by the tune you mentioned is that it's NOT listed at the tuneecu site, which means it's an older tune thats been superceeded. Heres the page with the tunes listed. Scroll down about 2/3 of the way to the bottom...
http://www.tuneecu.com/Twin_OEM_Tune_list.html