What is the current best result on the greatest lower bound on gaps between P2 almost primes where P2 represents a prime or the product of two semi-primes?

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largestgap between P2s up to $x$, as a function of $x$? In other words, an analogue for P2s of Rankin's result on large gaps between primes. – Greg Martin May 17 '13 at 19:49