Prime p₀= 2707893972799386491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 130 2 40 2 64 2 22 2 (?)
a_n: 0 2 30 32 66 68 198 200 240 242 306 308 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 28 34 130 40 64 22

TPT(14)	2707892787854330771	0 2 36 38 48 50 90 92 120 122 126 128 210 212	-1184945055720
STPT(10)	2707892922147471629	0 2 18 20 30 32 42 44 60 62	-1050651914862
SPT(16)	2707893250578056441	0 32 36 50 62 92 96 110 168 182 186 216 228 242 246 278	-722221330050
STPT(10)	2707893259429820549	0 2 42 44 90 92 138 140 180 182	-713369565942
SPT(16)	2707893536556574529	0 18 48 62 150 168 260 270 290 300 392 410 498 512 542 560	-436242811962
STPT(10)	2707893843684768329	0 2 48 50 90 92 132 134 180 182	-129114618162
SPT(16)	2707894643758983769	0 34 90 142 178 198 210 234 268 292 304 324 360 412 468 502	670959597278
TPT(14)	2707894741021025849	0 2 72 74 138 140 168 170 228 230 282 284 390 392	768221639358
STPT(10)	2707894876755188147	0 2 30 32 42 44 54 56 84 86	903955801656
SPT(16)	2707895001658995751	0 10 22 30 40 78 120 168 250 298 340 378 388 396 408 418	1028859609260
SPT(16)	2707895770211010191	0 18 36 50 86 92 120 126 152 158 186 192 228 242 260 278	1797411623700