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Say the blackholes met around this planet at the precious same time and are held in equilibrium, is there any particular reason that a planet couldn't survive in the area between?

(One above, one below and one on each side, as opposed to in a circular pattern.)

Excluding the planet for a moment, could 6 black holes be held in equilibrium by the force of it's neighbors?

No interest in discussing the improbability and I understand that doing the maths on a question like this is laughable, so, just based on your understanding of blackholes, is this something that is even possible?

Thank you!

<3 Phill