I just ran up a quick program to check for 5 twins in a range of 51, a subset of 14 prime spots, of which the twins are 0,2..6,8..18,20..30,32..48,50 (not the most efficient constellation)
The first primes in the first few such sets are
11, 325267931, 905119331, 2013256361, 3066212111, 10816172201, 22194295811, 23641113911
Last fiddled with by robert44444uk on 20190430 at 10:52
