A163633 4n^2-2n+p: p=5,n=0,1,2 connects to next p=17,n=0,1,2 connects to next p=29,n=0,1,2 connects to next 4n^2-2n+41 where n=0,1,-1,2,-2,3,-3,... This is part of Prime Helix and for 41 an extension of Euler's x^2-x+41 but this sequence has 46 primes. The first are twin primes with 12 separation.
5, 7, 17, 19, 29, 31, 41, 43, 47, 53, 61, 61, 71, 83, 97, 113, 131, 151, 173, 197, 223, 251, 281, 313, 347, 383, 421, 461, 503, 547, 593, 641, 691, 743, 797, 853, 911, 971, 1033, 1097, 1163, 1231, 1301, 1373, 1447, 1523, 1601
Offset: 1