Prime p₀= 2310143857722967727 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: FritzB
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2310142741366860731	0 2 90 92 168 170 210 212 258 260 270 272 300 302	-1116356106996
SPT(16)	2310142961496053009	0 20 30 54 84 134 152 174 218 240 258 308 338 362 372 392	-896226914718
STPT(10)	2310143163419517857	0 2 30 32 72 74 114 116 144 146	-694303449870
SPT(16)	2310143372926508047	0 24 34 36 90 132 172 190 216 234 274 316 370 372 382 406	-484796459680
STPT(10)	2310143538883779419	0 2 42 44 60 62 78 80 120 122	-318839188308
STPT(10)	2310143714852799149	0 2 18 20 30 32 42 44 60 62	-142870168578
STPT(10)	2310143919397915187	0 2 30 32 72 74 114 116 144 146	61674947460
STPT(10)	2310144255045973469	0 2 12 14 30 32 48 50 60 62	397323005742
STPT(10)	2310144773486273807	0 2 30 32 72 74 114 116 144 146	915763306080
STPT(10)	2310144967511506649	0 2 18 20 30 32 42 44 60 62	1109788538922
SPT(16)	2310145189672911637	0 36 46 82 120 160 166 186 190 210 216 256 294 330 340 376	1331949943910