Prime p₀= 2310470948944678139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: FritzB
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2310470307342475139	0 30 42 92 98 102 120 158 162 200 218 222 228 278 290 320	-641602203000
STPT(10)	2310470363010941849	0 2 12 14 90 92 168 170 180 182	-585933736290
SPT(16)	2310470496716551313	0 20 36 84 134 200 204 216 224 236 240 306 356 404 420 440	-452228126826
SPT(13)	2310470604301975393	0 48 120 180 186 210 258 306 330 336 396 468 516	-344642702746
SPT(16)	2310470760016810459	0 12 40 124 144 148 154 168 214 228 234 238 258 342 370 382	-188927867680
SPT(16)	2310470936180626519	0 24 42 48 84 132 198 210 222 234 300 348 384 390 408 432	-12764051620
SPT(18)	2310470965157593219	0 60 64 88 168 258 280 288 300 352 364 372 394 484 564 588 592 652	16212915080
SPT(16)	2310471201072532777	0 90 100 160 210 270 310 312 352 354 394 454 504 564 574 664	252127854638
SPT(16)	2310471293567461243	0 10 48 64 70 88 118 148 156 186 216 234 240 256 294 304	344622783104
STPT(10)	2310471402823531637	0 2 30 32 42 44 54 56 84 86	453878853498
STPT(10)	2310471604504907267	0 2 30 32 72 74 114 116 144 146	655560229128