An Average Age

I reach a new age this week.  It's the first prime that's the average of exactly four pairs of primes and one pair of squares.  (Five averages of pairs of numbers all with the same result.)  What might that be?

Source: Original.


Solutions were received from Jospeh DeVincentis, Radu Ionescu, Denis Borris, and Kirk Bresniker.  I turned 37, the average of (71,3),(67,7),(61,13),(43,31) and (25,49). Denis Borris suggested that 17 would also work as it's the average of (17,17), but I'd intended the primes to all be unique.
Mail to Ken