It might be normal, but I would ask a doctor anyway, especially if there is nothing else going on that would cause your heart rate to be high, or if there are other symptoms. The web page above is helpful in terms of figuring out what might be a better target heart rate for your training.
Just curious. Do you sprint? Over 200 bpm sounds like a very strenuous workout, but then I am old!!
regards,
Bromley
pages.prodigy.net/edc3/imusa/heart_rates.html