Prime p₀= 1427282581204473839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 10 2 28 2 4 2 (?)
a_n: 0 2 18 20 30 32 60 62 72 74 102 104 108 110
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: 110
Found by: Theadalus
db: batch=78, k=14, 16 10 28 10 28 4

SPT(16)	1427281715737021349	0 32 50 60 80 98 140 164 168 192 234 252 272 282 300 332	-865467452490
SPT(16)	1427281790271026647	0 34 42 84 114 144 172 174 292 294 322 352 382 424 432 466	-790933447192
STPT(10)	1427281826089052039	0 2 72 74 120 122 168 170 240 242	-755115421800
STPT(10)	1427281884347547257	0 2 30 32 42 44 54 56 84 86	-696856926582
SPT(16)	1427281972620918823	0 10 40 114 154 180 184 190 294 300 304 330 370 444 474 484	-608583555016
SPT(16)	1427282468089200497	0 32 54 80 110 140 162 222 272 332 354 384 414 440 462 494	-113115273342
STPT(10)	1427282634503011367	0 2 12 14 72 74 132 134 144 146	53298537528
STPT(10)	1427282889794906657	0 2 84 86 102 104 120 122 204 206	308590432818
STPT(10)	1427283141932852537	0 2 54 56 132 134 210 212 264 266	560728378698
SPT(16)	1427283349510020173	0 8 30 78 86 108 140 150 266 276 308 330 338 386 408 416	768305546334
SPT(16)	1427283670441365019	0 22 34 40 78 108 150 210 232 292 334 364 402 408 420 442	1089236891180