Prime p₀= 2522541308970984359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Time_Traveler
db: batch=82, k=10, 2 40 2 16 2

SPT(13)	2522540585750677249	0 60 72 102 108 132 150 168 192 198 228 240 300	-723220307110
SPT(16)	2522540717105251471	0 18 30 40 46 66 82 88 150 156 172 192 198 208 220 238	-591865732888
STPT(10)	2522540765053019309	0 2 18 20 30 32 42 44 60 62	-543917965050
SPT(16)	2522540800931220977	0 14 42 140 174 182 194 252 272 330 342 350 384 482 510 524	-508039763382
TPT(14)	2522540852462723789	0 2 132 134 168 170 228 230 240 242 270 272 312 314	-456508260570
SPT(16)	2522541268032383671	0 6 58 72 82 118 126 196 222 292 300 336 346 360 412 418	-40938600688
STPT(10)	2522541401201918189	0 2 18 20 30 32 42 44 60 62	92230933830
STPT(10)	2522541416615113169	0 2 48 50 90 92 132 134 180 182	107644128810
STPT(10)	2522541462537823169	0 2 42 44 60 62 78 80 120 122	153566838810
SPT(16)	2522541954253276429	0 18 84 90 144 180 204 244 264 304 328 364 418 424 490 508	645282292070
SPT(16)	2522541973873972667	0 2 24 56 80 122 126 170 246 290 294 336 360 392 414 416	664902988308