Prime p₀= 2315620164306072851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: WTBroughton
db: batch=81, k=10, 2 76 2 28 2

SPT(16)	2315619093721773193	0 18 40 76 138 246 250 256 330 336 340 448 510 546 568 586	-1070584299658
STPT(10)	2315619136239899291	0 2 6 8 48 50 90 92 96 98	-1028066173560
SPT(13)	2315619152568619031	0 18 60 78 120 162 270 378 420 462 480 522 540	-1011737453820
SPT(16)	2315619213373518979	0 42 142 174 180 244 252 268 384 400 408 472 478 510 610 652	-950932553872
SPT(16)	2315619820839370631	0 50 62 80 120 182 186 210 308 332 336 398 438 456 468 518	-343466702220
SPT(16)	2315619905635181471	0 6 20 30 36 42 140 216 266 342 440 446 452 462 476 482	-258670891380
STPT(10)	2315620415654706107	0 2 54 56 132 134 210 212 264 266	251348633256
STPT(10)	2315620434993324029	0 2 18 20 30 32 42 44 60 62	270687251178
SPT(16)	2315620550639766257	0 30 90 96 110 150 182 210 236 264 296 336 350 356 416 446	386333693406
SPT(18)	2315620576607084689	0 18 34 52 70 88 90 112 118 144 150 172 174 192 210 228 244 262	412301011838
STPT(10)	2315620919022746537	0 2 42 44 72 74 102 104 144 146	754716673686