The best way to do this is to use the streaming API and catch all the tweets containing "stanley cup" when they happen. The search API is very limited and you will never get more then a couple of thousand results in the past. Oftentimes much less.
Best regards, Stefan -- Twitter developer documentation and resources: https://dev.twitter.com/doc API updates via Twitter: https://twitter.com/twitterapi Issues/Enhancements Tracker: https://code.google.com/p/twitter-api/issues/list Change your membership to this group: https://groups.google.com/forum/#!forum/twitter-development-talk