Prime p₀= 2309073187850664407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2309070718514266307	0 2 42 44 72 74 102 104 144 146	-2469336398100
SPT(16)	2309071816277204917	0 16 30 46 52 60 94 120 136 162 196 204 210 226 240 256	-1371573459490
SPT(16)	2309071864927339049	0 18 20 30 32 152 158 200 222 264 270 390 392 402 404 422	-1322923325358
SPT(16)	2309072018365658761	0 18 70 78 88 96 118 168 250 300 322 330 340 348 400 418	-1169485005646
STPT(10)	2309072299395835619	0 2 48 50 60 62 72 74 120 122	-888454828788
SPT(16)	2309073113445959771	0 8 26 32 36 78 152 158 180 186 260 302 306 312 330 338	-74404704636
STPT(10)	2309073246096808967	0 2 12 14 42 44 72 74 84 86	58246144560
SPT(16)	2309073256115505329	0 38 62 72 90 102 128 164 168 204 230 242 260 270 294 332	68264840922
SPT(16)	2309073300786748607	0 14 144 194 234 276 314 336 380 402 440 482 522 572 702 716	112936084200
STPT(10)	2309073453709425581	0 2 6 8 48 50 90 92 96 98	265858761174
SPT(16)	2309073551764561411	0 16 22 36 42 70 118 162 286 330 378 406 412 426 432 448	363913897004