Prime p₀= 2726242768896837959 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2726241812313656671	0 16 30 42 48 72 118 156 172 210 256 280 286 298 312 328	-956583181288
SPT(16)	2726241935916364087	0 60 102 126 180 294 316 330 346 360 382 496 550 574 616 676	-832980473872
SPT(16)	2726242294835203201	0 12 46 58 136 150 178 192 256 270 298 312 390 402 436 448	-474061634758
STPT(10)	2726242420050240209	0 2 18 20 30 32 42 44 60 62	-348846597750
SPT(16)	2726242518041868619	0 52 84 100 154 184 190 208 234 252 258 288 342 358 390 442	-250854969340
SPT(16)	2726242722523707007	0 34 52 54 96 112 124 132 154 162 174 190 232 234 252 286	-46373130952
SPT(16)	2726242874385081097	0 12 30 46 82 142 160 190 222 252 270 330 366 382 400 412	105488243138
SPT(16)	2726243206524357521	0 30 56 60 66 80 102 158 210 266 288 302 308 312 338 368	437627519562
STPT(10)	2726243536784647931	0 2 6 8 18 20 30 32 36 38	767887809972
STPT(10)	2726243556480211457	0 2 30 32 42 44 54 56 84 86	787583373498
TPT(14)	2726243707255606301	0 2 36 38 78 80 96 98 156 158 168 170 240 242	938358768342