Prime p₀= 2322049276226619887 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: Orange Kid
db: batch=81, k=10, 2 52 2 76 2

SPT(16)	2322048409371253949	0 2 110 114 150 152 180 200 234 254 282 284 320 324 432 434	-866855365938
SPT(16)	2322048557881967267	0 12 20 26 84 96 104 114 122 132 140 152 210 216 224 236	-718344652620
SPT(16)	2322048883693494979	0 4 24 30 58 70 78 100 162 184 192 204 232 238 258 262	-392533124908
SPT(16)	2322048969723974039	0 2 14 24 42 50 128 150 152 174 252 260 278 288 300 302	-306502645848
SPT(16)	2322049047129609929	0 50 108 110 204 234 260 294 344 378 404 434 528 530 588 638	-229097009958
STPT(10)	2322049173816862121	0 2 30 32 78 80 126 128 156 158	-102409757766
TPT(14)	2322049321327894889	0 2 12 14 42 44 108 110 132 134 150 152 168 170	45101275002
SPT(16)	2322049361844586061	0 80 98 108 140 186 200 206 210 216 230 276 308 318 336 416	85617966174
STPT(10)	2322049800958861619	0 2 48 50 60 62 72 74 120 122	524732241732
SPT(16)	2322049820921651399	0 24 38 50 80 90 108 140 168 200 218 228 258 270 284 308	544695031512
SPT(16)	2322049943049038593	0 40 96 108 130 136 160 228 286 354 378 384 406 418 474 514	666822418706