Yes, FLUTES is a Scrabble word!

Letter values in Scrabble US: F 4, L 1, U 1, T 1, E 1, S 1.

Is it a valid word?

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

a high-pitched woodwind instrument; a slender tube closed at one end with finger holes on one end and an opening near the closed end across which the breath is blown
a tall narrow wineglass
a groove or furrow in cloth etc (particularly a shallow concave groove on the shaft of a column)

Also: transverse flute, flute glass, champagne flute.