Prime p₀= 2735808079475771999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 130 2 106 2 100 2 40 2 (?)
a_n: 0 2 30 32 108 110 240 242 348 350 450 452 492 494
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: JayPi
db: batch=82, k=14, 28 76 130 106 100 40

SPT(16)	2735806391095439419	0 70 168 192 198 268 300 312 328 340 372 442 448 472 570 640	-1688380332580
STPT(10)	2735806439442499019	0 2 42 44 60 62 78 80 120 122	-1640033272980
SPT(16)	2735806789474699099	0 18 40 42 48 70 82 120 130 168 180 202 208 210 232 250	-1290001072900
SPT(16)	2735806925646743449	0 28 90 174 204 244 294 298 330 334 384 424 454 538 600 628	-1153829028550
SPT(16)	2735807483846785267	0 30 84 90 96 124 156 166 294 304 336 364 370 376 430 460	-595628986732
SPT(16)	2735807918687695879	0 10 18 48 52 70 88 130 132 174 192 210 214 244 252 262	-160788076120
SPT(16)	2735808588079943557	0 10 52 82 142 180 220 322 390 492 532 570 630 660 702 712	508604171558
SPT(16)	2735808739805780047	0 12 30 34 52 82 126 132 184 190 234 264 282 286 304 316	660330008048
SPT(16)	2735808788574155251	0 12 46 60 66 96 126 196 282 352 382 412 418 432 466 478	709098383252
SPT(16)	2735808882841655041	0 40 42 72 88 130 208 222 256 270 348 390 406 436 438 478	803365883042
STPT(10)	2735809763270184707	0 2 30 32 42 44 54 56 84 86	1683794412708