Quinn's key feature is network multiplayer (via the Internet or locally through Bonjour), and there are multiple ways to determine a multiplayer winner: highest total score, highest score reached, longest play time, and most lines-per-minute.
When we checked the list of Quinn servers on the developer's site there were only 2 people playing on the Internet, so you may want to stick to networked Bonjour play with your office mates. If you are looking for strictly Internet-multiplayer Tetris, try Blockles.
