Prime p₀= 2491648820545032581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 22 2 94 2 40 2 16 2 (?)
a_n: 0 2 96 98 156 158 180 182 276 278 318 320 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 94 58 22 94 40 16

SPT(16)	2491647298967639053	0 64 96 106 108 160 184 198 286 300 324 376 378 388 420 484	-1521577393528
SPT(16)	2491647319363696687	0 6 46 90 144 226 282 352 354 424 480 562 616 660 700 706	-1501181335894
STPT(10)	2491647604390145867	0 2 12 14 42 44 72 74 84 86	-1216154886714
SPT(16)	2491647633762396391	0 6 58 88 102 112 118 168 220 270 276 286 300 330 382 388	-1186782636190
SPT(13)	2491648640338486039	0 54 60 90 234 258 264 270 294 438 468 474 528	-180206546542
STPT(10)	2491648688848131677	0 2 12 14 72 74 132 134 144 146	-131696900904
SPT(16)	2491649465643215771	0 38 60 62 122 176 246 270 308 332 402 456 516 518 540 578	645098183190
SPT(16)	2491649555646782801	0 18 86 96 102 138 152 260 288 396 410 446 452 462 530 548	735101750220
TPT(14)	2491650171784338749	0 2 30 32 42 44 60 62 90 92 132 134 162 164	1351239306168
STPT(10)	2491650230352882587	0 2 30 32 102 104 174 176 204 206	1409807850006
SPT(16)	2491652806998081173	0 14 30 38 56 66 104 140 174 210 248 258 276 284 300 314	3986453048592