Consistently refrigerated and ten days past is very likely fine. The dates on cartons are mostly best by or sell by, which is a quality judgement rather than a safety cutoff, and what declines first is how well the white holds its shape.
Two tests, in this order. Float them: sinks and lies flat is fresh, sinks but stands on end is older and worth cooking through, floats means a big air cell and most people bin those. Then crack each one into a separate small bowl, because the float test tells you age and your nose tells you the rest.