I'm late to the discussion here, but...
I believe firmly in making the punishment fit the crime.
If she wasn't on the phone while speeding, I don't understand what her phone has to do with it. How a television comes into play mystifies me (does she watch Fast & Furious movies all the time?)
If you want her to learn to be reasonable, modeling it is better than demanding it and punishing her when she disappoints you.
At that age, I did much stupider and more dangerous things than that, but I don't anymore, because my frontal lobe finished maturing.
So, what to do? Make the punishment fit the crime. How far you go is up to you, but it should be related to driving responsibly, not how horrified you are about her poor decision making. Bad decisions have consequences (fines, court appearances, etc.). Let her experience them.
At 15, I got my first job flipping burgers. At 17, I put a down payment on my first (very used) car, and paid for my insurance, gas, and everything else related to transportation. Your daughter can be banned from using your car, and you can even go this far. It's It's not impossible.
You're her father. Make sure that when she starts driving again, she'dshe's not doing it to put distance between her and you.