Exit Velocity for 340 feet off the tee?

Hit at a field off the tee recently were the fence was 320 dead center. Consistenly hit the fence with one of my hits clearing the fence around 20 feet. What would be the exit velocity of a batted ball traveling 340 feet from a stationary position? Also if its possible what would be the bat speed of a swing of this type? Launch Angle?

Thanks for your time and info if you respond, 

JR

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