Prime p₀= 2370676228819208267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: MarkRBright
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2370675315514270727	0 2 30 32 132 134 144 146 180 182 222 224 282 284	-913304937540
SPT(16)	2370675419409842383	0 46 130 178 216 238 256 348 418 510 528 550 588 636 720 766	-809409365884
SPT(16)	2370675478851141437	0 26 56 84 122 156 176 192 224 240 260 294 332 360 390 416	-749968066830
SPT(16)	2370675794514283303	0 6 54 60 66 106 126 144 196 214 234 274 280 286 334 340	-434304924964
SPT(16)	2370676104549740179	0 30 58 70 84 90 184 190 342 348 442 448 462 474 502 532	-124269468088
STPT(10)	2370676114561969829	0 2 18 20 30 32 42 44 60 62	-114257238438
SPT(16)	2370676234258194223	0 6 18 34 40 60 76 88 126 138 154 174 180 196 208 214	5438985956
SPT(16)	2370676310531288941	0 16 42 46 60 88 172 258 280 366 450 478 492 496 522 538	81712080674
SPT(16)	2370676408058094683	0 8 18 138 140 156 180 200 204 224 248 264 266 386 396 404	179238886416
STPT(10)	2370676823490024911	0 2 36 38 78 80 120 122 156 158	594670816644
STPT(10)	2370677160312976367	0 2 30 32 72 74 114 116 144 146	931493768100