Prime p₀= 2229997569826518827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 172 2 28 2 16 2 (?)
a_n: 0 2 30 32 54 56 60 62 234 236 264 266 282 284
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: Penguin
db: batch=81, k=14, 28 22 4 172 28 16

SPT(16)	2229995665875395207	0 6 80 84 102 116 150 164 342 356 390 404 422 426 500 506	-1903951123620
SPT(16)	2229996121599375541	0 12 18 48 76 96 100 130 168 198 202 222 250 280 286 298	-1448227143286
STPT(10)	2229996175908267449	0 2 42 44 90 92 138 140 180 182	-1393918251378
SPT(16)	2229996871215267067	0 16 132 156 190 196 250 292 324 366 420 426 460 484 600 616	-698611251760
STPT(10)	2229996934313013137	0 2 24 26 42 44 60 62 84 86	-635513505690
STPT(10)	2229997405706879951	0 2 6 8 18 20 30 32 36 38	-164119638876
SPT(16)	2229997866074392123	0 36 58 78 90 118 124 136 138 150 156 184 196 216 238 274	296247873296
STPT(12)	2229997976361724691	0 2 66 68 78 80 168 170 180 182 246 248	406535205864
SPT(16)	2229998056705153039	0 4 22 28 64 142 154 172 180 198 210 288 324 330 348 352	486878634212
STPT(10)	2229998171681803487	0 2 30 32 42 44 54 56 84 86	601855284660
SPT(16)	2229998229865201867	0 10 24 102 154 156 166 186 190 210 220 222 274 352 366 376	660038683040