27 people in groups of 3 so they are never with the same people after 13 rounds

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I have a group of 27 students, and I want them to meet in groups of three in a sequence where each student is with each other student in a group exactly one time.

I know it should be possible. In 13 rounds, you meet 26 people. I need sequences, though, of which students are in groups together for each round.

I can't find a website that will do this for me. I have found several Round Robin tournament creators, but those produce results in pairs. I would like triads.