Prime p₀= 2703027262439564609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 16 2 40 2 10 2 4 2 (?)
a_n: 0 2 48 50 90 92 108 110 150 152 162 164 168 170
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: 170
Found by: biodoc
db: batch=82, k=14, 46 40 16 40 10 4

SPT(16)	2703026075989037719	0 22 40 78 88 112 120 154 198 232 240 264 274 312 330 352	-1186450526890
STPT(10)	2703026447185529279	0 2 42 44 90 92 138 140 180 182	-815254035330
STPT(10)	2703026776102101467	0 2 42 44 72 74 102 104 144 146	-486337463142
SPT(16)	2703026843691738101	0 6 66 72 90 98 132 146 192 206 240 248 266 272 332 338	-418747826508
SPT(16)	2703026879976495433	0 60 64 76 118 160 168 216 238 286 294 336 378 390 394 454	-382463069176
SPT(16)	2703027100795360291	0 30 36 72 78 82 142 156 262 276 336 340 346 382 388 418	-161644204318
STPT(10)	2703027424540375979	0 2 12 14 90 92 168 170 180 182	162100811370
SPT(16)	2703028130560924591	0 12 40 46 90 102 120 126 172 178 196 208 252 258 286 298	868121359982
TPT(14)	2703028927944545687	0 2 54 56 90 92 114 116 144 146 240 242 312 314	1665504981078
STPT(10)	2703029066049744317	0 2 30 32 42 44 54 56 84 86	1803610179708
STPT(10)	2703029099541770609	0 2 42 44 120 122 198 200 240 242	1837102206000