Prime p₀= 2339773871545512299 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: fix
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2339772225866551351	0 36 58 78 156 198 240 310 336 406 448 490 568 588 610 646	-1645678960948
STPT(10)	2339772885736316081	0 2 6 8 18 20 30 32 36 38	-985809196218
STPT(10)	2339773083279275429	0 2 30 32 60 62 90 92 120 122	-788266236870
STPT(10)	2339773456349116817	0 2 30 32 42 44 54 56 84 86	-415196395482
STPT(10)	2339773522287030881	0 2 6 8 18 20 30 32 36 38	-349258481418
SPT(13)	2339773545497432087	0 42 60 66 72 120 156 192 240 246 252 270 312	-326048080212
SPT(16)	2339773911582194489	0 24 30 68 84 90 110 122 240 252 272 278 294 332 338 362	40036682190
STPT(10)	2339773939790345951	0 2 6 8 48 50 90 92 96 98	68244833652
SPT(16)	2339774555657822429	0 14 24 42 68 72 110 200 222 312 350 354 380 398 408 422	684112310130
SPT(16)	2339774962787012987	0 26 42 122 146 162 192 216 236 260 290 306 330 410 426 452	1091241500688
STPT(10)	2339775009635201207	0 2 24 26 42 44 60 62 84 86	1138089688908