Prime p₀= 2349028778975151599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 118 2 58 2 40 2 10 2 28 2 (?)
a_n: 0 2 18 20 138 140 198 200 240 242 252 254 282 284
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: 284
Found by: Orange Kid
db: batch=81, k=14, 16 118 58 40 10 28

SPT(16)	2349025114544690773	0 46 66 156 168 178 184 210 244 270 276 286 298 388 408 454	-3664430460826
SPT(16)	2349025505047203361	0 10 12 42 52 78 108 130 330 352 382 408 418 448 450 460	-3273927948238
SPT(16)	2349025974140831977	0 24 124 150 154 160 244 330 376 462 546 552 556 582 682 706	-2804834319622
SPT(16)	2349026025814468961	0 6 32 38 42 50 140 146 162 168 258 266 270 276 302 308	-2753160682638
SPT(16)	2349027281257696999	0 12 18 82 100 142 144 150 172 178 180 222 240 304 310 322	-1497717454600
STPT(10)	2349027788442665381	0 2 6 8 18 20 30 32 36 38	-990532486218
STPT(10)	2349028827142346771	0 2 36 38 78 80 120 122 156 158	48167195172
STPT(10)	2349029134137747377	0 2 30 32 42 44 54 56 84 86	355162595778
SPT(16)	2349029255448713647	0 40 42 54 66 82 84 130 186 232 234 250 262 274 276 316	476473562048
TPT(14)	2349029865124913939	0 2 42 44 48 50 90 92 138 140 210 212 378 380	1086149762340
SPT(16)	2349029993014073947	0 6 22 30 34 36 42 96 100 154 160 162 166 174 190 196	1214038922348