Yes, REDBRICK is a Scrabble word!

Letter values in Scrabble US: R 1, E 1, D 2, B 3, R 1, I 1, C 3, K 5.

Is it a valid word?

REDBRICK is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

of or relating to British universities founded in the late 19th century or the 20th century

Also: red-brick.