Prime p₀= 2679665197357465409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 34 2 118 2 52 2 64 2 (?)
a_n: 0 2 30 32 42 44 78 80 198 200 252 254 318 320
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: 320
Found by: JayPi
db: batch=82, k=14, 28 10 34 118 52 64

SPT(16)	2679663018860621107	0 12 34 90 142 184 282 294 352 364 462 504 556 612 634 646	-2178496844302
STPT(10)	2679663199604846051	0 2 36 38 78 80 120 122 156 158	-1997752619358
SPT(16)	2679663354260471641	0 60 82 108 168 178 192 210 238 256 270 280 340 366 388 448	-1843096993768
SPT(18)	2679663898187250943	0 24 34 96 154 166 204 216 244 336 364 376 414 426 484 546 556 580	-1299170214466
STPT(10)	2679664396878795419	0 2 18 20 30 32 42 44 60 62	-800478669990
SPT(16)	2679664453259839301	0 20 26 72 120 156 182 230 252 300 326 362 410 456 462 482	-744097626108
SPT(16)	2679665495661047939	0 42 44 48 90 170 192 272 300 380 402 482 524 528 530 572	298303582530
STPT(10)	2679665575254101261	0 2 36 38 78 80 120 122 156 158	377896635852
SPT(16)	2679665590380451447	0 12 36 46 54 84 106 120 136 150 172 202 210 220 244 256	393022986038
STPT(10)	2679665706481991369	0 2 18 20 30 32 42 44 60 62	509124525960
TPT(14)	2679666037348265681	0 2 48 50 78 80 126 128 198 200 210 212 216 218	839990800272