Prime p₀= 2341126673689723037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Coleslaw
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2341125535206267167	0 2 24 26 54 56 114 116 180 182 210 212 222 224	-1138483455870
STPT(10)	2341125642483778061	0 2 6 8 18 20 30 32 36 38	-1031205944976
SPT(16)	2341125713815608179	0 20 84 92 104 150 204 210 224 230 284 330 342 350 414 434	-959874114858
SPT(16)	2341125861399812987	0 44 54 66 140 180 206 276 320 390 416 456 530 542 552 596	-812289910050
STPT(10)	2341125969031103921	0 2 6 8 18 20 30 32 36 38	-704658619116
STPT(12)	2341126657451585987	0 2 12 14 42 44 60 62 90 92 102 104	-16238137050
SPT(16)	2341126783105127887	0 42 64 70 106 114 154 156 190 192 232 240 276 282 304 346	109415404850
SPT(16)	2341126856346137411	0 2 18 56 68 102 146 156 182 192 236 270 282 320 336 338	182656414374
SPT(16)	2341127027885394389	0 2 68 90 102 104 132 174 278 320 348 350 362 384 450 452	354195671352
SPT(16)	2341127114847229699	0 72 82 118 124 174 180 222 370 412 418 468 474 510 520 592	441157506662
STPT(10)	2341127224558346051	0 2 36 38 78 80 120 122 156 158	550868623014