Prime p₀= 2309311031456898419 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2309310137349572141	0 2 36 38 78 80 120 122 156 158	-894107326278
SPT(16)	2309310284172485381	0 36 50 60 78 90 116 128 270 282 308 320 338 348 362 398	-747284413038
STPT(10)	2309310499247552621	0 2 6 8 18 20 30 32 36 38	-532209345798
SPT(16)	2309310551138034889	0 42 90 118 232 258 268 330 412 474 484 510 624 652 700 742	-480318863530
TPT(14)	2309310709640422919	0 2 30 32 72 74 90 92 132 134 210 212 270 272	-321816475500
SPT(16)	2309310786173833823	0 8 30 66 68 134 138 146 198 206 210 276 278 314 336 344	-245283064596
STPT(10)	2309312216489488919	0 2 42 44 60 62 78 80 120 122	1185032590500
STPT(10)	2309312670584437457	0 2 30 32 60 62 90 92 120 122	1639127539038
SPT(16)	2309312743561173421	0 60 78 156 168 190 222 232 246 256 288 310 322 400 418 478	1712104275002
SPT(16)	2309312827253159317	0 10 36 46 64 66 94 100 120 126 154 156 174 184 210 220	1795796260898
STPT(10)	2309313047043530387	0 2 30 32 72 74 114 116 144 146	2015586631968