Pitchess,
Sorry for your pain.
Some tips from others; Don't even bother trying until 6-9 months have passed.
Make sure you have a dated paper trail to REMIND the ELDERS you exist. (most elder bodies have group "attention deficit disorder")
They will want to be certain you have ceased doing what you did to get disfellowshipped in the first place. That you have repented, made amends, and are attending just about every meeting. After a few meetings, write a nice handwritten, humble, dated "Mea culpa" letter outlining your desire to be re-instated to the Body of Elders, outlining your changed attitude, that you have ceased ..x... long ago, and made ammends to injured parties to the best of your ability, and are now attending meetings. (a copy to a family member). Ask what they want you to do. This will start the clock and shorten the time. Every couple of months and ask for re-instatement/meeting (to gauge mood). This way friends and family pester elders for you as well from the beginning. ( do not TALK to anyone after). (depression, talk of suicidal thoughts helps).
If the disfellowshipping was a big public hoo ha in your area, or some on the body have it in for you, it might slow things way down..to an eternity.
If you are a well liked relative of an Elder, the above will get you re-instated pronto. If the "injured party" campaigns against you, or is family of a Elder...sorry.
my 2 cents