Prime p₀= 2377649784886395821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 34 2 40 2 10 2 16 2 (?)
a_n: 0 2 18 20 90 92 126 128 168 170 180 182 198 200
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: 200
Found by: Landjunge
db: batch=81, k=14, 16 70 34 40 10 16

SPT(16)	2377647875446020403	0 18 28 46 76 94 114 168 286 340 360 378 408 426 436 454	-1909440375418
SPT(16)	2377648234639785839	0 42 50 110 120 128 158 180 200 222 252 260 270 330 338 380	-1550246609982
SPT(16)	2377648358605365829	0 22 78 100 102 132 172 202 210 240 280 310 312 334 390 412	-1426281029992
SPT(16)	2377648878174366631	0 28 52 70 108 142 252 258 340 346 456 490 528 546 570 598	-906712029190
SPT(16)	2377649212335349859	0 8 20 44 110 162 170 218 264 312 320 372 438 462 474 482	-572551045962
TPT(14)	2377649318559549569	0 2 12 14 78 80 132 134 138 140 162 164 168 170	-466326846252
STPT(10)	2377650275385308237	0 2 30 32 72 74 114 116 144 146	490498912416
STPT(10)	2377650641261527517	0 2 30 32 42 44 54 56 84 86	856375131696
SPT(16)	2377650949669541681	0 38 80 116 122 182 188 200 318 330 336 396 402 438 480 518	1164783145860
STPT(10)	2377651058608011377	0 2 42 44 102 104 162 164 204 206	1273721615556
SPT(16)	2377651355533736741	0 2 12 18 92 98 128 138 200 210 240 246 320 326 336 338	1570647340920