Prime p₀= 2339657722555585427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 124 2 70 2 148 2 16 2 10 2 (?)
a_n: 0 2 114 116 240 242 312 314 462 464 480 482 492 494
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: 494
Found by: ChUcK
db: batch=81, k=14, 112 124 70 148 16 10

SPT(16)	2339655880508228189	0 8 42 62 68 90 98 102 140 144 152 174 180 200 234 242	-1842047357238
TPT(14)	2339656416580986929	0 2 150 152 180 182 312 314 348 350 420 422 492 494	-1305974598498
TPT(14)	2339656885896545351	0 2 90 92 168 170 180 182 300 302 318 320 336 338	-836659040076
STPT(12)	2339657049481701317	0 2 54 56 60 62 84 86 90 92 144 146	-673073884110
SPT(16)	2339657309723975047	0 6 24 52 102 114 136 156 190 210 232 244 294 322 340 346	-412831610380
SPT(16)	2339657550069976909	0 24 28 34 48 78 220 274 348 402 544 574 588 594 598 622	-172485608518
STPT(10)	2339657793041101787	0 2 60 62 102 104 144 146 204 206	70485516360
SPT(16)	2339657830343654819	0 18 50 60 78 110 144 162 350 368 402 434 452 462 494 512	107788069392
SPT(16)	2339657981458334939	0 20 24 54 90 110 132 152 162 182 204 224 260 290 294 314	258902749512
STPT(10)	2339658104114093027	0 2 42 44 72 74 102 104 144 146	381558507600
SPT(16)	2339658245432294051	0 2 6 20 42 146 150 210 278 338 342 446 468 482 486 488	522876708624