Prime p₀= 2317802830867369499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 58 2 118 2 10 2 88 2 (?)
a_n: 0 2 78 80 108 110 168 170 288 290 300 302 390 392
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: 392
Found by: eclipse99
db: batch=81, k=14, 76 28 58 118 10 88

TPT(14)	2317800673725303449	0 2 42 44 72 74 180 182 198 200 300 302 390 392	-2157142066050
SPT(16)	2317801129625184013	0 10 16 24 40 84 108 184 210 286 310 354 370 378 384 394	-1701242185486
SPT(16)	2317801150646165699	0 8 62 72 84 92 98 104 198 204 210 218 230 240 294 302	-1680221203800
STPT(10)	2317801168496727959	0 2 48 50 90 92 132 134 180 182	-1662370641540
STPT(10)	2317802118675457991	0 2 90 92 150 152 210 212 300 302	-712191911508
TPT(14)	2317802400370152389	0 2 12 14 72 74 78 80 150 152 180 182 198 200	-430497217110
SPT(16)	2317803007063404779	0 2 50 72 102 140 162 240 254 332 354 392 422 444 492 494	176196035280
SPT(16)	2317803254320201541	0 12 26 32 48 90 110 182 186 258 278 320 336 342 356 368	423452832042
STPT(10)	2317803277158091067	0 2 72 74 102 104 132 134 204 206	446290721568
STPT(10)	2317803458818492217	0 2 42 44 72 74 102 104 144 146	627951122718
SPT(16)	2317803744667128317	0 84 90 92 116 150 176 182 354 360 386 420 444 446 452 536	913799758818