Prime p₀= 2362613674718456849 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2362611241781842031	0 2 36 38 78 80 120 122 156 158	-2432936614818
SPT(16)	2362611822655469491	0 12 40 46 52 82 88 100 108 120 126 156 162 168 196 208	-1852062987358
SPT(16)	2362611838541503403	0 30 38 108 110 128 158 186 260 288 318 336 338 408 416 446	-1836176953446
SPT(16)	2362611923586194179	0 28 48 70 78 84 120 180 232 292 328 334 342 364 384 412	-1751132262670
SPT(16)	2362612859394107401	0 82 90 126 156 180 196 222 316 342 358 382 412 448 456 538	-815324349448
SPT(16)	2362613494926746209	0 10 114 172 238 250 304 352 360 408 462 474 540 598 702 712	-179791710640
SPT(16)	2362613755951010893	0 4 6 60 70 84 126 130 174 178 220 234 244 298 300 304	81232554044
SPT(16)	2362613808025030927	0 54 72 76 96 100 142 184 222 264 306 310 330 334 352 406	133306574078
TPT(14)	2362613923645095149	0 2 78 80 120 122 162 164 210 212 240 242 318 320	248926638300
STPT(10)	2362613931286220147	0 2 30 32 42 44 54 56 84 86	256567763298
SPT(16)	2362614031605617767	0 4 40 42 60 70 82 126 130 174 186 196 214 216 252 256	356887160918