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This paper analyzes the emergence and distribution of potential twin primes, pairs of integers that are both relatively prime to the first n primes or to a given set M of primes, and which are the breeding grounds of true twin primes. It describes cyclical patterns of their location across the number line and provides a formula for counting them., Comment: This is a follow up and a companion to an earlier report entitled "Cycles and Patterns in the Sieve of Eratosthenes" already published in arXiv. It contains 20 pages, 20 references, and 14 tables