Prime p₀= 2084412340825977359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 94 2 28 2 70 2 46 2 (?)
a_n: 0 2 30 32 42 44 138 140 168 170 240 242 288 290
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: 290
Found by: Ben
db: batch=80, k=14, 28 10 94 28 70 46

SPT(16)	2084411730981868723	0 30 66 94 100 114 144 156 208 220 250 264 270 298 334 364	-609844108636
SPT(16)	2084411941317974981	0 18 30 42 48 98 110 150 188 228 240 290 296 308 320 338	-399508002378
STPT(10)	2084411982059288417	0 2 30 32 42 44 54 56 84 86	-358766688942
SPT(16)	2084412170719305457	0 76 106 130 132 142 144 154 162 172 174 184 186 210 240 316	-170106671902
STPT(12)	2084412171989106989	0 2 30 32 72 74 78 80 120 122 150 152	-168836870370
STPT(10)	2084412296564416961	0 2 6 8 18 20 30 32 36 38	-44261560398
STPT(10)	2084412458618079377	0 2 60 62 72 74 84 86 144 146	117792102018
SPT(16)	2084412481313718091	0 16 70 96 118 132 196 210 298 312 376 390 412 438 492 508	140487740732
SPT(16)	2084412710039436481	0 12 106 136 172 190 256 292 300 336 402 420 456 486 580 592	369213459122
SPT(16)	2084412755585833423	0 6 48 66 78 108 114 148 156 190 196 226 238 256 298 304	414759856064
STPT(12)	2084413216718764187	0 2 42 44 102 104 180 182 240 242 282 284	875892786828