Martin C. Winer 'Techniques for counting prime constellations between P(n) and P(n)²' Ibid. 9 1-25 (2010):

This paper presents formulae which calculate the number of occurrences of prime constellations between P(n) and P(n)^2. Next it is shown that the error between these formulae and the actual number of the given constellations stabilizes at low error rates for large n. Finally the formulae are decomposed in such a way as to demonstrate why the constellations occur infinitely. Moreover it will be demonstrated that the number of the constellations increases between P(n) and P(n)^2 for larger n.