Prime p₀= 2315618794259102159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: WTBroughton
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2315616501894800977	0 10 22 36 52 64 82 94 192 204 222 234 250 264 276 286	-2292364301182
SPT(16)	2315616559063634119	0 10 24 42 52 100 124 168 184 228 252 300 310 328 342 352	-2235195468040
STPT(10)	2315617295870071397	0 2 12 14 42 44 72 74 84 86	-1498389030762
TPT(14)	2315617427292313577	0 2 12 14 30 32 54 56 102 104 114 116 264 266	-1366966788582
STPT(10)	2315617995233260307	0 2 42 44 72 74 102 104 144 146	-799025841852
SPT(16)	2315618557820730293	0 60 96 134 176 204 216 230 300 314 326 354 396 434 470 530	-236438371866
SPT(16)	2315619075117650909	0 38 54 74 98 120 144 158 294 308 332 354 378 398 414 452	280858548750
SPT(16)	2315619093721773193	0 18 40 76 138 246 250 256 330 336 340 448 510 546 568 586	299462671034
STPT(10)	2315619136239899291	0 2 6 8 48 50 90 92 96 98	341980797132
SPT(13)	2315619152568619031	0 18 60 78 120 162 270 378 420 462 480 522 540	358309516872
SPT(16)	2315619213373518979	0 42 142 174 180 244 252 268 384 400 408 472 478 510 610 652	419114416820