Prime p₀= 2664013306156390217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 130 2 28 2 46 2 (?)
a_n: 0 2 12 14 42 44 72 74 204 206 234 236 282 284
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: biodoc
db: batch=82, k=14, 10 28 28 130 28 46

SPT(16)	2664012163879637267	0 56 74 92 102 144 204 222 224 242 302 344 354 372 390 446	-1142276752950
STPT(10)	2664012434688711011	0 2 6 8 48 50 90 92 96 98	-871467679206
SPT(16)	2664012753003984511	0 52 72 78 82 100 120 138 220 238 258 276 280 286 306 358	-553152405706
SPT(13)	2664012877090429727	0 42 84 102 144 150 192 234 240 282 300 342 384	-429065960490
STPT(10)	2664012965977572827	0 2 90 92 102 104 114 116 204 206	-340178817390
SPT(16)	2664013058450826451	0 18 90 106 108 172 210 222 286 298 336 400 402 418 490 508	-247705563766
STPT(10)	2664013925052757001	0 2 6 8 48 50 90 92 96 98	618896366784
STPT(10)	2664013966557783779	0 2 42 44 60 62 78 80 120 122	660401393562
SPT(16)	2664014059453329899	0 12 38 42 44 122 138 140 192 194 210 288 290 294 320 332	753296939682
SPT(16)	2664014278084145387	0 30 44 66 84 120 140 144 146 150 170 206 224 246 260 290	971927755170
SPT(16)	2664014409759540107	0 6 36 90 116 174 204 284 312 392 422 480 506 560 590 596	1103603149890