Prime p₀= 2664555418268428427 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2664552745637231509	0 30 40 42 78 168 214 228 334 348 394 484 520 522 532 562	-2672631196918
SPT(13)	2664553899922399621	0 6 48 90 96 156 168 180 240 246 288 330 336	-1518346028806
SPT(16)	2664554075922087269	0 32 44 60 68 98 152 180 242 270 324 354 362 378 390 422	-1342346341158
SPT(16)	2664555184059734993	0 66 98 110 186 236 258 300 374 416 438 488 564 576 608 674	-234208693434
SPT(16)	2664555186554073431	0 42 152 156 168 170 222 348 350 476 528 530 542 546 656 698	-231714354996
STPT(10)	2664555356693687057	0 2 30 32 42 44 54 56 84 86	-61574741370
SPT(16)	2664556021767631559	0 8 24 38 78 102 120 140 222 242 260 284 324 338 354 362	603499203132
SPT(16)	2664556311478601329	0 12 82 100 114 144 154 174 208 228 238 268 282 300 370 382	893210172902
STPT(10)	2664556430433415559	0 2 18 20 30 32 42 44 60 62	1012164987132
SPT(16)	2664556443907925089	0 42 54 70 84 90 112 138 154 180 202 208 222 238 250 292	1025639496662
SPT(16)	2664557460171167993	0 14 26 38 66 138 158 230 264 336 356 428 456 468 480 494	2041902739566