Prime p₀= 2317803748060558757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 40 2 178 2 94 2 (?)
a_n: 0 2 30 32 60 62 72 74 114 116 294 296 390 392
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, 28 28 10 40 178 94

TPT(14)	2317802830867369499	0 2 78 80 108 110 168 170 288 290 300 302 390 392	-917193189258
SPT(16)	2317803007063404779	0 2 50 72 102 140 162 240 254 332 354 392 422 444 492 494	-740997153978
SPT(16)	2317803254320201541	0 12 26 32 48 90 110 182 186 258 278 320 336 342 356 368	-493740357216
STPT(10)	2317803277158091067	0 2 72 74 102 104 132 134 204 206	-470902467690
STPT(10)	2317803458818492217	0 2 42 44 72 74 102 104 144 146	-289242066540
SPT(16)	2317803744667128317	0 84 90 92 116 150 176 182 354 360 386 420 444 446 452 536	-3393430440
SPT(16)	2317803827584559401	0 10 66 90 112 126 156 196 306 346 376 390 412 436 492 502	79524000644
SPT(18)	2317803944771177873	0 38 44 54 80 96 138 140 170 234 264 266 308 324 350 360 366 404	196710619116
SPT(16)	2317803989969395309	0 4 42 70 82 84 90 100 144 154 160 162 174 202 240 244	241908836552
STPT(10)	2317804089108397949	0 2 12 14 90 92 168 170 180 182	341047839192
SPT(16)	2317804090643839373	0 24 44 50 108 116 140 168 206 234 258 266 324 330 350 374	342583280616