Based on your above, TurboTax did in fact, calculate your taxes correctly. The penalty is based on your non-payment or underpayment of estimated taxes, and it doesn't matter "WHEN" the penalty was calculated or assessed - it's still the same amount provided of course, you actually pay the penalty within the time frame specified in the letter you received, if a deadline is specified. If (and only if) TTX calculated a penalty, it would have been an estimate and it would have been less than the final penalty calculated by the taxing authority upon receiving your payment. So weather you pay say, $600 at tax filing time and get a bill later for the remaining $109.98 later, or if you get a bill for the entire 709.98 later does not change the fact you're paying a penalty of $709.98.
Basically, and based solely on the information provided in this thread, you don't have a claim. But if you want you can follow TaxPro+40's link below to file a claim. But again, based solely on the facts provided in this thread, I'm sure it's going to be denied.
