Prime p₀= 2318345078681648801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 58 2 10 2 70 2 94 2 (?)
a_n: 0 2 30 32 36 38 96 98 108 110 180 182 276 278
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: 278
Found by: Merowig
db: batch=81, k=14, 28 4 58 10 70 94

STPT(10)	2318344564786635389	0 2 12 14 90 92 168 170 180 182	-513895013412
STPT(10)	2318344627683019217	0 2 42 44 72 74 102 104 144 146	-450998629584
SPT(16)	2318344640944181831	0 20 72 92 98 200 210 258 380 428 438 540 546 566 618 638	-437737466970
SPT(16)	2318344721713237051	0 18 22 60 106 108 162 168 220 226 280 282 328 366 370 388	-356968411750
SPT(16)	2318344898240920187	0 36 42 56 62 80 86 90 122 126 132 150 156 170 176 212	-180440728614
STPT(10)	2318345034607558709	0 2 18 20 30 32 42 44 60 62	-44074090092
SPT(20)	2318345083831679801	0 38 42 108 156 176 198 218 342 360 398 416 540 560 582 602 650 716 720 758	5150031000
SPT(16)	2318345129243818483	0 58 64 78 96 100 190 196 198 204 294 298 316 330 336 394	50562169682
SPT(16)	2318345249726287909	0 10 22 24 28 54 58 64 228 234 238 264 268 270 282 292	171044639108
STPT(10)	2318345332791497057	0 2 42 44 72 74 102 104 144 146	254109848256
TPT(14)	2318345370646931369	0 2 42 44 78 80 210 212 228 230 252 254 300 302	291965282568