Prime p₀= 2678586158634902279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 40 2 88 2 88 2 40 2 16 2 (?)
a_n: 0 2 108 110 150 152 240 242 330 332 372 374 390 392
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: 392
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 106 40 88 88 40 16

STPT(10)	2678585368622370281	0 2 6 8 48 50 90 92 96 98	-790012531998
SPT(16)	2678585587793001049	0 22 30 48 78 100 118 148 204 234 252 274 304 322 330 352	-570841901230
SPT(16)	2678585628003689347	0 30 52 94 142 172 214 220 234 240 282 312 360 402 424 454	-530631212932
SPT(16)	2678585787806267741	0 12 30 50 78 122 182 218 240 276 336 380 408 428 446 458	-370828634538
SPT(16)	2678585839067216447	0 12 14 24 42 80 110 162 194 246 276 314 332 342 344 356	-319567685832
SPT(20)	2678585845060322809	0 22 28 42 54 72 84 94 100 112 120 132 138 148 160 178 190 204 210 232	-313574579470
STPT(10)	2678586158634902387	0 2 42 44 132 134 222 224 264 266	108
STPT(10)	2678586198387132287	0 2 42 44 72 74 102 104 144 146	39752230008
STPT(10)	2678586372385570637	0 2 12 14 42 44 72 74 84 86	213750668358
SPT(16)	2678586386005250509	0 12 34 52 88 94 150 178 204 232 288 294 330 348 370 382	227370348230
STPT(12)	2678586794368657559	0 2 30 32 60 62 102 104 132 134 162 164	635733755280