Prime p₀= 2678339626245279089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Asgard2022
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2678338675484361521	0 2 30 32 78 80 126 128 156 158	-950760917568
STPT(10)	2678338798483781117	0 2 24 26 42 44 60 62 84 86	-827761497972
SPT(16)	2678338885327181683	0 54 78 90 124 138 168 208 216 256 286 300 334 346 370 424	-740918097406
STPT(10)	2678338892007292907	0 2 30 32 42 44 54 56 84 86	-734237986182
STPT(10)	2678338942253369951	0 2 6 8 48 50 90 92 96 98	-683991909138
STPT(10)	2678339195857285307	0 2 12 14 42 44 72 74 84 86	-430387993782
TPT(14)	2678339738860101179	0 2 42 44 48 50 78 80 90 92 120 122 132 134	112614822090
TPT(14)	2678340046787384909	0 2 18 20 42 44 138 140 150 152 198 200 252 254	420542105820
SPT(16)	2678340068271587617	0 22 60 100 130 150 204 256 300 352 406 426 456 496 534 556	442026308528
TPT(14)	2678340612359938079	0 2 12 14 30 32 78 80 162 164 240 242 288 290	986114658990
SPT(16)	2678340999926989043	0 6 8 30 36 44 126 168 176 218 300 308 314 336 338 344	1373681709954