This is a scene from a Star Trek Next Generation episode. It's where Data is in the holodeck as Sherlock Holmes and his arch nemesis Moriarty discovers a way to control the enterprise from the holodeck. I can't remember the name of the episode.

I did a bit of research. I remember there were two episodes with Daniel Davis as Moriarty. One of them is called: Ship in a Bottle. These are very special episodes as I had seen Daniel Davis in a fantastic play at the Guthrie Theatre in St Paul Minnesota called: The Misanthrope. He was incredible!

Ship in a Bottle:

http://www.imdb.com/title/tt0708773/

I have the entire series of the original Star Trek, Star Trek Next Generation & Star Trek Voyager. I've decided to watch the pilot episode of the Next Generation series once again. It's called: Encounter At Farpoint.