Prime p₀= 2310504279654312281 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: FritzB
db: batch=81, k=10, 2 76 2 58 2

STPT(10)	2310503286098523947	0 2 54 56 72 74 90 92 144 146	-993555788334
SPT(16)	2310503580145335637	0 52 66 76 90 126 130 154 192 216 220 256 270 280 294 346	-699508976644
SPT(16)	2310503691348116129	0 48 50 68 78 92 120 132 140 152 180 194 204 222 224 272	-588306196152
SPT(16)	2310503808687465557	0 12 60 80 102 110 122 134 210 222 234 242 264 284 332 344	-470966846724
TPT(14)	2310503991036590537	0 2 12 14 144 146 210 212 234 236 270 272 282 284	-288617721744
SPT(16)	2310504203934876857	0 20 110 116 140 150 164 200 336 372 386 396 420 426 516 536	-75719435424
SPT(16)	2310504426179391509	0 44 78 114 140 152 182 188 294 300 330 342 368 404 438 482	146525079228
TPT(14)	2310504430103111717	0 2 234 236 294 296 312 314 324 326 390 392 402 404	150448799436
SPT(16)	2310504533616452269	0 4 18 22 54 130 144 150 232 238 252 328 360 364 378 382	253962139988
STPT(10)	2310504657650421731	0 2 36 38 78 80 120 122 156 158	377996109450
SPT(16)	2310505492270922603	0 26 44 74 116 126 140 210 284 354 368 378 420 450 468 494	1212616610322