Prime p₀= 2743857697221291767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2743855603976482337	0 2 24 26 42 44 60 62 84 86	-2093244809430
TPT(14)	2743856534001068279	0 2 138 140 420 422 468 470 540 542 552 554 630 632	-1163220223488
STPT(10)	2743856546845710929	0 2 42 44 90 92 138 140 180 182	-1150375580838
SPT(16)	2743857091682215109	0 18 32 68 98 110 122 164 168 210 222 234 264 300 314 332	-605539076658
STPT(10)	2743857584964482807	0 2 60 62 72 74 84 86 144 146	-112256808960
SPT(16)	2743857612696362887	0 30 72 82 106 126 156 196 216 256 286 306 330 340 382 412	-84524928880
SPT(16)	2743857910082565737	0 32 44 60 90 102 110 126 170 186 194 206 236 252 264 296	212861273970
TPT(14)	2743858205662406879	0 2 48 50 90 92 132 134 138 140 198 200 210 212	508441115112
SPT(16)	2743858582849930529	0 2 20 42 48 62 68 84 158 174 180 194 200 222 240 242	885628638762
STPT(10)	2743858914885402701	0 2 30 32 78 80 126 128 156 158	1217664110934
STPT(10)	2743859263789533941	0 2 6 8 18 20 30 32 36 38	1566568242174