I think you'll face an uphill battle getting a security clearance granted again. Having been convicted of a crime while holding a TS/SCI clearance will be considered highly derogatory, even a decade later. You'll want to review Adjudicative Guideline J and recent DoD security clearance determinations.

I have the same question as the OP.  I have a conditional offer for a job that requires top secret clearance, but about 12 years ago I got arrested, convicted, and served a short stint in jail for a stunt where me and friends ran down the streets butt naked and trashed several stores, cars, and other property.  I was on cocaine but I didn't mention that and wasn't convicted of any drug offense, I was just convicted of vandalism and public indecency.   

However, these are misdemeanors and 12 years ago and the SF86 only asks about the last 10 years for misdemeanors, so I should be good.  I have a PhD in Computer Science specializing in computer security so my trade is in high demand.  I'm sure the government can look past my previous indiscretions and clear me again, no?

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Considering the amount of time that has passed since your conviction, I think that national security concerns regarding your conduct may well be mitigated and that you may be able to obtain a security clearance. (I am inferring that unlike the original poster, you did not hold a security clearance at the time when you were convicted.)