Prime p₀= 2310609413418093839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2310607736886694799	0 24 144 162 198 204 264 270 302 308 368 374 410 428 548 572	-1676531399040
SPT(16)	2310607954181055161	0 66 80 92 128 168 180 188 240 248 260 300 336 348 362 428	-1459237038678
STPT(10)	2310608488344732131	0 2 6 8 48 50 90 92 96 98	-925073361708
SPT(16)	2310609116506909549	0 18 24 30 48 84 102 108 154 160 178 214 232 238 244 262	-296911184290
TPT(14)	2310609239776537517	0 2 30 32 72 74 102 104 180 182 240 242 312 314	-173641556322
SPT(16)	2310609391139877721	0 12 28 66 88 108 112 130 168 186 190 210 232 270 286 298	-22278216118
SPT(16)	2310609505623695917	0 60 106 196 280 312 330 342 394 406 424 456 540 630 676 736	92205602078
STPT(10)	2310609526966462619	0 2 42 44 60 62 78 80 120 122	113548368780
SPT(16)	2310609573355786123	0 24 28 46 70 178 186 214 270 298 306 414 438 456 460 484	159937692284
SPT(16)	2310609592336198091	0 30 38 42 56 68 78 108 170 200 210 222 236 240 248 278	178918104252
STPT(10)	2310609947565147647	0 2 12 14 42 44 72 74 84 86	534147053808