Prime p₀= 2315620434993324029 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: WTBroughton
db: batch=81, k=10, 2 16 2 10 2

SPT(13)	2315619152568619031	0 18 60 78 120 162 270 378 420 462 480 522 540	-1282424704998
SPT(16)	2315619213373518979	0 42 142 174 180 244 252 268 384 400 408 472 478 510 610 652	-1221619805050
SPT(16)	2315619820839370631	0 50 62 80 120 182 186 210 308 332 336 398 438 456 468 518	-614153953398
SPT(16)	2315619905635181471	0 6 20 30 36 42 140 216 266 342 440 446 452 462 476 482	-529358142558
STPT(10)	2315620164306072851	0 2 78 80 108 110 138 140 216 218	-270687251178
STPT(10)	2315620415654706107	0 2 54 56 132 134 210 212 264 266	-19338617922
SPT(16)	2315620550639766257	0 30 90 96 110 150 182 210 236 264 296 336 350 356 416 446	115646442228
SPT(18)	2315620576607084689	0 18 34 52 70 88 90 112 118 144 150 172 174 192 210 228 244 262	141613760660
STPT(10)	2315620919022746537	0 2 42 44 72 74 102 104 144 146	484029422508
STPT(10)	2315621126240328029	0 2 12 14 30 32 48 50 60 62	691247004000
SPT(16)	2315621246960793461	0 20 26 42 72 132 138 180 188 230 236 296 326 342 348 368	811967469432