Prime p₀= 2598502436471160377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 154 2 10 2 46 2 70 2 40 2 (?)
a_n: 0 2 54 56 210 212 222 224 270 272 342 344 384 386
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: 386
Found by: Asgard2022
db: batch=82, k=14, 52 154 10 46 70 40

SPT(16)	2598501258226155439	0 34 132 154 178 190 258 280 282 304 372 384 408 430 528 562	-1178245004938
STPT(10)	2598501435621201137	0 2 30 32 42 44 54 56 84 86	-1000849959240
STPT(10)	2598502115513708309	0 2 42 44 90 92 138 140 180 182	-320957452068
STPT(10)	2598502170717831977	0 2 30 32 42 44 54 56 84 86	-265753328400
SPT(16)	2598502192784311993	0 54 58 148 166 168 196 216 238 258 286 288 306 396 400 454	-243686848384
SPT(16)	2598502210444381961	0 38 68 80 110 180 200 258 332 390 410 480 510 522 552 590	-226026778416
SPT(16)	2598502446051124513	0 18 84 94 106 138 196 234 250 288 346 378 390 400 466 484	9579964136
STPT(10)	2598502692232752827	0 2 30 32 42 44 54 56 84 86	255761592450
STPT(10)	2598503016679564997	0 2 30 32 72 74 114 116 144 146	580208404620
SPT(16)	2598503537897361659	0 42 48 78 102 132 152 158 162 168 188 218 242 272 278 320	1101426201282
SPT(16)	2598503630173219409	0 2 12 72 110 254 260 314 330 384 390 534 572 632 642 644	1193702059032