Prime p₀= 3015822831624760427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 106 2 70 2 16 2 22 2 16 2 (?)
a_n: 0 2 72 74 180 182 252 254 270 272 294 296 312 314
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: 314
Found by: ginga
db: batch=82, k=14, 70 106 70 16 22 16

STPT(10)	3015819463010467037	0 2 12 14 42 44 72 74 84 86	-3368614293390
SPT(16)	3015819819149179607	0 6 42 54 66 120 180 266 270 356 416 470 482 494 530 536	-3012475580820
SPT(16)	3015820297383022057	0 22 60 76 82 102 112 126 130 144 154 174 180 196 234 256	-2534241738370
SPT(16)	3015820851273283253	0 26 30 56 96 110 114 120 134 140 144 158 198 224 228 254	-1980351477174
TPT(14)	3015821213273688647	0 2 102 104 330 332 384 386 414 416 462 464 480 482	-1618351071780
STPT(10)	3015821471256618719	0 2 30 32 60 62 90 92 120 122	-1360368141708
SPT(16)	3015823078935854177	0 14 20 26 56 72 152 162 194 204 284 300 330 336 342 356	247311093750
STPT(10)	3015823796102597267	0 2 60 62 72 74 84 86 144 146	964477836840
SPT(16)	3015823851294165523	0 40 96 126 198 204 234 240 274 280 310 316 388 418 474 514	1019669405096
TPT(14)	3015824379163821767	0 2 42 44 90 92 150 152 372 374 414 416 462 464	1547539061340
SPT(16)	3015824553575340817	0 4 30 60 70 90 94 102 244 252 256 276 286 316 342 346	1721950580390