Prime p₀= 2871537609197671079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 88 2 28 2 70 2 16 2 (?)
a_n: 0 2 12 14 30 32 120 122 150 152 222 224 240 242
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: 242
Found by: ChUcK
db: batch=82, k=14, 10 16 88 28 70 16

SPT(16)	2871535955768959729	0 18 24 138 144 154 210 220 222 232 288 298 304 418 424 442	-1653428711350
TPT(14)	2871535957549681109	0 2 78 80 132 134 162 164 270 272 330 332 342 344	-1651647989970
TPT(14)	2871536062978257599	0 2 12 14 78 80 198 200 240 242 402 404 420 422	-1546219413480
STPT(10)	2871536454863114219	0 2 18 20 30 32 42 44 60 62	-1154334556860
SPT(16)	2871536800004619311	0 26 48 90 92 120 132 138 230 236 248 276 278 320 342 368	-809193051768
SPT(16)	2871537009347773519	0 42 100 120 130 232 280 282 322 324 372 474 484 504 562 604	-599849897560
SPT(16)	2871537663511133587	0 22 70 94 126 130 136 172 234 270 276 280 312 336 384 406	54313462508
SPT(16)	2871538000681672801	0 30 58 138 150 156 180 190 198 208 232 238 250 330 358 388	391484001722
TPT(14)	2871538081981362977	0 2 84 86 150 152 234 236 252 254 264 266 294 296	472783691898
SPT(16)	2871538417058494763	0 6 20 26 86 164 170 186 194 210 216 294 354 360 374 380	807860823684
SPT(16)	2871538437164413129	0 18 28 40 120 138 154 172 180 198 214 232 312 324 334 352	827966742050