Prime p₀= 2170558827087802817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 28 2 34 2 58 2 58 2 (?)
a_n: 0 2 12 14 54 56 84 86 120 122 180 182 240 242
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: 242
Found by: Penguin
db: batch=81, k=14, 10 40 28 34 58 58

SPT(16)	2170557524958318701	0 36 86 90 98 128 170 210 218 258 300 330 338 342 392 428	-1302129484116
SPT(16)	2170557783905117401	0 42 58 126 172 202 268 280 288 300 366 396 442 510 526 568	-1043182685416
STPT(10)	2170557955949077547	0 2 30 32 72 74 114 116 144 146	-871138725270
SPT(16)	2170558152103170329	0 30 42 68 78 108 110 140 162 192 194 224 234 260 272 302	-674984632488
SPT(16)	2170558420716967783	0 6 34 78 108 126 190 210 214 234 298 316 346 390 418 424	-406370835034
SPT(16)	2170558677575147533	0 10 36 46 60 88 90 160 204 274 276 304 318 328 354 364	-149512655284
STPT(10)	2170559310499279067	0 2 30 32 42 44 54 56 84 86	483411476250
STPT(10)	2170559311055936399	0 2 18 20 30 32 42 44 60 62	483968133582
STPT(10)	2170559689687300799	0 2 18 20 30 32 42 44 60 62	862599497982
SPT(16)	2170559723703847309	0 12 52 70 78 94 100 124 138 162 168 184 192 210 250 262	896616044492
STPT(10)	2170559814933155207	0 2 42 44 72 74 102 104 144 146	987845352390