The point is twin primes (6k-1, 6k+1) are more likely for a large k when k is a composite number than a prime AND the more factors of k the higher chance for twin primes.
EX: K = (6 * 2 * 3 * 5 * 7 * 11 * 13 ) gives a twin prime.
EX: K = (6 * 2 * 3 * 5 * 7 * 11 * 13 ) gives a twin prime.
Smaller numbers have multiples that are more densely distributed among the integers.