Prime p₀= 2341183644777238319 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: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2341182366025177603	0 78 96 144 168 180 186 234 250 298 304 316 340 388 406 484	-1278752060716
SPT(18)	2341182561572755321	0 16 58 82 148 156 172 186 196 282 292 306 322 330 396 420 462 478	-1083204482998
STPT(10)	2341182567860116439	0 2 18 20 30 32 42 44 60 62	-1076917121880
STPT(10)	2341183114241395817	0 2 30 32 42 44 54 56 84 86	-530535842502
SPT(16)	2341183219487720389	0 12 40 42 78 88 112 160 300 348 372 382 418 420 448 460	-425289517930
STPT(10)	2341183476614081117	0 2 42 44 72 74 102 104 144 146	-168163157202
SPT(16)	2341183674913557343	0 6 34 60 100 114 136 148 156 168 190 204 244 270 298 304	30136319024
TPT(14)	2341184997136241741	0 2 6 8 270 272 366 368 396 398 456 458 498 500	1352359003422
SPT(16)	2341185221803938893	0 26 36 48 60 110 126 140 144 158 174 224 236 248 258 284	1577026700574
SPT(16)	2341185387210452891	0 26 38 62 78 110 138 212 216 290 318 350 366 390 402 428	1742433214572
SPT(16)	2341185433010914879	0 34 54 64 72 90 112 148 174 210 232 250 258 268 288 322	1788233676560