Prime p₀= 2686597797310101011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 82 2 28 2 166 2 16 2 (?)
a_n: 0 2 30 32 36 38 120 122 150 152 318 320 336 338
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: 338
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 4 82 28 166 16

STPT(10)	2686596355490723447	0 2 72 74 102 104 132 134 204 206	-1441819377564
SPT(16)	2686596528133933081	0 6 18 36 42 46 148 150 238 240 342 346 352 370 382 388	-1269176167930
STPT(10)	2686596579675032081	0 2 36 38 78 80 120 122 156 158	-1217635068930
SPT(18)	2686597071272672333	0 6 20 26 44 86 90 98 110 144 156 164 168 210 228 234 248 254	-726037428678
STPT(10)	2686597345452521771	0 2 6 8 48 50 90 92 96 98	-451857579240
STPT(10)	2686597408506626861	0 2 36 38 78 80 120 122 156 158	-388803474150
SPT(16)	2686597885887879721	0 28 108 142 168 316 330 336 382 388 402 550 576 610 690 718	88577778710
SPT(16)	2686598071842960721	0 6 40 88 96 130 150 228 238 316 336 370 378 426 460 466	274532859710
SPT(16)	2686598165036400763	0 4 84 124 130 136 166 220 264 318 348 354 360 400 480 484	367726299752
SPT(16)	2686598457057855677	0 50 54 74 84 86 96 102 134 140 150 152 162 182 186 236	659747754666
STPT(10)	2686598471804092211	0 2 36 38 78 80 120 122 156 158	674493991200