Prime p₀= 2599827629716156997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: JayPi
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2599825034673365267	0 30 72 90 104 114 194 222 242 270 350 360 374 392 434 464	-2595042791730
STPT(10)	2599826034355218839	0 2 18 20 30 32 42 44 60 62	-1595360938158
SPT(16)	2599826450702157907	0 6 16 60 66 72 102 126 286 310 340 346 352 396 406 412	-1179013999090
SPT(16)	2599826534507781497	0 2 80 84 90 132 182 206 210 234 284 326 332 336 414 416	-1095208375500
SPT(16)	2599826858499806627	0 20 42 66 84 116 126 156 200 230 240 272 290 314 336 356	-771216350370
STPT(10)	2599827503936433647	0 2 30 32 60 62 90 92 120 122	-125779723350
SPT(16)	2599827747415510993	0 10 16 28 30 36 118 208 276 366 448 454 456 468 474 484	117699353996
SPT(16)	2599827868272821897	0 60 86 126 162 174 200 242 324 366 392 404 440 480 506 566	238556664900
STPT(10)	2599828752893620139	0 2 48 50 90 92 132 134 180 182	1123177463142
STPT(10)	2599829640197747987	0 2 12 14 42 44 72 74 84 86	2010481590990
SPT(16)	2599829683360028347	0 12 34 70 82 106 114 120 166 172 180 204 216 252 274 286	2053643871350