It depends on your definition of a video game. Most supercomputers don’t have dedicated GPUs that many modern video games require. Producing high frame rate graphics isn’t the job of a super computer.
Most probably have some interface so that workstations can get visual data from a supercomputer and you could play Tetris or similar. Supercomputers could potentially run game servers, but they are designed for more batch processing and not for Interactivity.
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