Prime p₀= 2263435848611910689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 184 2 22 2 58 2 64 2 28 2 (?)
a_n: 0 2 132 134 318 320 342 344 402 404 468 470 498 500
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: 500
Found by: JayPi
db: batch=81, k=14, 130 184 22 58 64 28

SPT(16)	2263434647004570167	0 32 62 140 150 182 200 204 230 234 252 284 294 372 402 434	-1201607340522
SPT(16)	2263434958852311947	0 2 26 36 42 50 54 92 114 152 156 164 170 180 204 206	-889759598742
STPT(10)	2263435021409795669	0 2 18 20 60 62 102 104 120 122	-827202115020
SPT(16)	2263435166502897407	0 14 44 60 104 144 194 242 252 300 350 390 434 450 480 494	-682109013282
TPT(14)	2263435392984432617	0 2 12 14 30 32 42 44 54 56 144 146 150 152	-455627478072
SPT(16)	2263435848310250819	0 24 32 60 72 80 98 164 168 234 252 260 272 300 308 332	-301659870
SPT(13)	2263436043017875331	0 6 12 42 72 132 156 180 240 270 300 306 312	194405964642
STPT(10)	2263436126173996547	0 2 12 14 72 74 132 134 144 146	277562085858
SPT(16)	2263437019268395543	0 6 60 66 130 150 180 184 210 214 244 264 328 334 388 394	1170656484854
SPT(16)	2263437177379897459	0 40 42 94 120 142 180 204 238 262 300 322 348 400 402 442	1328767986770
STPT(10)	2263437401987900681	0 2 6 8 48 50 90 92 96 98	1553375989992