Prime p₀= 2522540852462723789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 34 2 58 2 10 2 28 2 40 2 (?)
a_n: 0 2 132 134 168 170 228 230 240 242 270 272 312 314
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 314
Found by: Time_Traveler
db: batch=82, k=14, 130 34 58 10 28 40

TPT(14)	2522539998621166019	0 2 12 14 42 44 198 200 210 212 348 350 408 410	-853841557770
SPT(16)	2522540139978614087	0 50 62 72 126 146 170 252 254 336 360 380 434 444 456 506	-712484109702
SPT(13)	2522540585750677249	0 60 72 102 108 132 150 168 192 198 228 240 300	-266712046540
SPT(16)	2522540717105251471	0 18 30 40 46 66 82 88 150 156 172 192 198 208 220 238	-135357472318
STPT(10)	2522540765053019309	0 2 18 20 30 32 42 44 60 62	-87409704480
SPT(16)	2522540800931220977	0 14 42 140 174 182 194 252 272 330 342 350 384 482 510 524	-51531502812
SPT(16)	2522541268032383671	0 6 58 72 82 118 126 196 222 292 300 336 346 360 412 418	415569659882
STPT(10)	2522541308970984359	0 2 42 44 60 62 78 80 120 122	456508260570
STPT(10)	2522541401201918189	0 2 18 20 30 32 42 44 60 62	548739194400
STPT(10)	2522541416615113169	0 2 48 50 90 92 132 134 180 182	564152389380
STPT(10)	2522541462537823169	0 2 42 44 60 62 78 80 120 122	610075099380