Prime p₀= 2309297082764272877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 88 2 40 2

SPT(16)	2309295790823973221	0 6 26 36 48 90 128 168 188 228 266 308 320 330 350 356	-1291940299656
STPT(10)	2309296272099034121	0 2 126 128 168 170 210 212 336 338	-810665238756
STPT(10)	2309296284207021911	0 2 90 92 198 200 306 308 396 398	-798557250966
SPT(16)	2309296385456397683	0 8 38 66 90 98 108 126 170 188 198 206 230 258 288 296	-697307875194
SPT(16)	2309296424479425541	0 10 42 46 102 172 196 198 340 342 366 436 492 496 528 538	-658284847336
TPT(14)	2309296621047161021	0 2 78 80 90 92 168 170 258 260 288 290 300 302	-461717111856
SPT(16)	2309297292787080857	0 2 6 24 32 42 62 72 134 144 164 174 182 200 204 206	210022807980
SPT(16)	2309297330515833961	0 88 132 142 190 232 252 310 330 388 408 450 498 508 552 640	247751561084
STPT(10)	2309297360789538149	0 2 30 32 60 62 90 92 120 122	278025265272
SPT(16)	2309297589029735593	0 6 24 66 70 100 106 150 154 198 204 234 238 280 298 304	506265462716
SPT(16)	2309297842338410141	0 18 26 38 98 116 150 176 312 338 372 390 450 462 470 488	759574137264