A072744 Difference between the members of a pairs of primes (p, q) with p<q and (p+q)/2=2^(floor(Log2(q))+1).

2, 6, 6, 30, 18, 6, 90, 78, 42, 234, 186, 150, 114, 54, 30, 498, 462, 330, 258, 162, 102, 90, 18, 894, 846, 810, 594, 546, 534, 510, 426, 294, 210, 54, 30, 1902, 1722, 1710, 1662, 1578, 1542, 1482, 1458, 1362, 1278, 1230, 1218, 1122, 990, 858, 822, 702, 522