College at Cambridge: festum, circiter LX dies post Pascham (6,7)

I believe the answer is:

corpus christi

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'college' is the definition.
(name of colleges at Oxford and Cambridge)

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for corpus christi that I've seen before include "Texan city: name shared by colleges at Oxford and Cambridge" , "Oxbridge college" , "Oxford or Cambridge college" , "Church festival; Oxford college" .)

I've seen this clue in The Times.

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