Prime p₀= 2709011367529665017 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2709008214577179197	0 2 12 14 60 62 72 74 90 92 144 146 174 176	-3152952485820
STPT(10)	2709008985613086599	0 2 18 20 60 62 102 104 120 122	-2381916578418
STPT(10)	2709009683038070297	0 2 12 14 72 74 132 134 144 146	-1684491594720
SPT(16)	2709010021675429081	0 12 70 96 130 166 168 198 220 250 252 288 322 348 406 418	-1345854235936
SPT(16)	2709010959833365223	0 24 54 108 134 158 168 270 284 386 396 420 446 500 530 554	-407696299794
TPT(14)	2709011219782759277	0 2 24 26 72 74 180 182 192 194 204 206 222 224	-147746905740
SPT(16)	2709011640500877167	0 24 30 36 80 96 114 126 374 386 404 420 464 470 476 500	272971212150
SPT(16)	2709011663615707997	0 30 50 114 140 150 152 182 222 252 254 264 290 354 374 404	296086042980
SPT(16)	2709011937007870951	0 18 72 90 100 198 202 220 360 378 382 480 490 508 562 580	569478205934
STPT(10)	2709012003814234757	0 2 60 62 72 74 84 86 144 146	636284569740
SPT(16)	2709012399903908677	0 10 36 42 54 66 124 150 166 192 250 262 274 280 306 316	1032374243660