$25$ cards with only $3$ possible pat hands

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In the game called Maverick Poker, $25$ cards are dealt and you try to make as many pat hands (hands which are a straight or better) as you possibly can.

If the cards are randomly dealt, the probability is extremely high that five pat hands can be made. However, I have it on good faith that it is possible to choose $25$ cards which can be partitioned into at most $3$ pat hands. I am not in contact with the person who told me this was true anymore, so I can't just ask for a solution (so instead I'm asking here!) -- anyone have any insight into how to choose these cards to make this possible?