Prime p₀= 2140855979602731899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 298 2 88 2 16 2 22 2 214 2 22 2 (?)
a_n: 0 2 300 302 390 392 408 410 432 434 648 650 672 674
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: 674
Found by: Donn Pike (USAF Ret)
db: batch=80, k=14, 298 88 16 22 214 22

STPT(10)	2140853985333376457	0 2 60 62 72 74 84 86 144 146	-1994269355442
SPT(16)	2140854170810086279	0 10 48 52 70 84 94 150 172 228 238 252 270 274 312 322	-1808792645620
SPT(16)	2140854228104770279	0 10 22 24 48 70 82 84 148 150 162 184 208 210 222 232	-1751497961620
SPT(16)	2140855200471466571	0 32 50 78 80 98 108 138 182 212 222 240 242 270 288 320	-779131265328
STPT(10)	2140855552650068669	0 2 18 20 30 32 42 44 60 62	-426952663230
SPT(16)	2140855593562257613	0 10 28 60 84 90 96 126 178 208 214 220 244 276 294 304	-386040474286
SPT(16)	2140856441273734841	0 42 48 62 66 68 140 158 180 198 270 272 276 290 296 338	461671002942
STPT(10)	2140856595662588057	0 2 42 44 72 74 102 104 144 146	616059856158
STPT(10)	2140856705173920059	0 2 18 20 30 32 42 44 60 62	725571188160
SPT(16)	2140857291038700697	0 12 16 24 46 60 82 94 102 114 136 150 172 180 184 196	1311435968798
STPT(10)	2140857577155278897	0 2 24 26 42 44 60 62 84 86	1597552546998