Tweetadder used to work well. Not used in a few years, so can't comment on recent ones.
Tweetdeck is free (on Chrome) and lets you schedule tweets etc.
Twitter has a limit as to how many tweets can be sent in a 24 hour period. Can't remember it of the top of my head, but believe that your rate will be above it, in a 24 hour period. Tweeting crap (or anything for that matter) at that rate, will lead to you account being closed.
Quite why anyone would want to tweet every 2 minutes is beyond me. Maybe a few years ago tweeting URLs worked, but that has long stopped.