Prime p₀= 2337095945719275989 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 208 2 10 2 118 2 28 2 136 2 16 2 (?)
a_n: 0 2 210 212 222 224 342 344 372 374 510 512 528 530
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: 530
Found by: Orange Kid
db: batch=81, k=14, 208 10 118 28 136 16

STPT(10)	2337094843858108907	0 2 24 26 42 44 60 62 84 86	-1101861167082
STPT(10)	2337094874845200257	0 2 60 62 72 74 84 86 144 146	-1070874075732
SPT(16)	2337095247706294193	0 24 56 86 126 144 156 186 254 284 296 314 354 384 416 440	-698012981796
STPT(10)	2337095474977488101	0 2 30 32 60 62 90 92 120 122	-470741787888
SPT(16)	2337095544326795869	0 30 52 94 102 108 114 144 148 178 184 190 198 240 262 292	-401392480120
SPT(16)	2337095637203162761	0 18 76 106 118 148 150 168 238 256 258 288 300 330 388 406	-308516113228
SPT(16)	2337096127483278677	0 6 32 80 110 116 132 174 242 284 300 306 336 384 410 416	181764002688
SPT(16)	2337096524758465081	0 22 40 120 162 178 252 280 288 316 390 406 448 528 546 568	579039189092
SPT(16)	2337096638227027279	0 30 42 64 82 94 114 150 184 220 240 252 270 292 304 334	692507751290
SPT(16)	2337096659763036733	0 34 48 64 78 90 94 108 130 144 148 160 174 190 204 238	714043760744
SPT(16)	2337096663524252831	0 32 68 80 102 120 122 182 186 246 248 266 288 300 336 368	717804976842