Prime p₀= 2522541268032383671 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 52 14 10 36 8 70 26 70 8 36 10 14 52 6 (?)
a_n: 0 6 58 72 82 118 126 196 222 292 300 336 346 360 412 418
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 418
Found by: Time_Traveler
db: batch=82, k=16, 6 52 14 10 36 8 70 26

SPT(16)	2522540139978614087	0 50 62 72 126 146 170 252 254 336 360 380 434 444 456 506	-1128053769584
SPT(13)	2522540585750677249	0 60 72 102 108 132 150 168 192 198 228 240 300	-682281706422
SPT(16)	2522540717105251471	0 18 30 40 46 66 82 88 150 156 172 192 198 208 220 238	-550927132200
STPT(10)	2522540765053019309	0 2 18 20 30 32 42 44 60 62	-502979364362
SPT(16)	2522540800931220977	0 14 42 140 174 182 194 252 272 330 342 350 384 482 510 524	-467101162694
TPT(14)	2522540852462723789	0 2 132 134 168 170 228 230 240 242 270 272 312 314	-415569659882
STPT(10)	2522541308970984359	0 2 42 44 60 62 78 80 120 122	40938600688
STPT(10)	2522541401201918189	0 2 18 20 30 32 42 44 60 62	133169534518
STPT(10)	2522541416615113169	0 2 48 50 90 92 132 134 180 182	148582729498
STPT(10)	2522541462537823169	0 2 42 44 60 62 78 80 120 122	194505439498
SPT(16)	2522541954253276429	0 18 84 90 144 180 204 244 264 304 328 364 418 424 490 508	686220892758