Prime p₀= 2562618750010008881 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=82, k=10, 2 34 2 40 2

STPT(10)	2562618067441084577	0 2 12 14 42 44 72 74 84 86	-682568924304
SPT(16)	2562618128314370047	0 42 52 70 82 96 120 124 132 136 160 174 186 204 214 256	-621695638834
SPT(16)	2562618141467859661	0 30 60 106 112 130 162 172 180 190 222 240 246 292 322 352	-608542149220
SPT(16)	2562618211399036937	0 42 72 80 156 210 300 312 320 332 422 476 552 560 590 632	-538610971944
SPT(16)	2562618471725393233	0 10 54 66 78 88 144 154 270 280 336 346 358 370 414 424	-278284615648
SPT(16)	2562618671636582761	0 10 12 42 48 72 102 130 138 166 196 220 226 256 258 268	-78373426120
STPT(12)	2562619317822542939	0 2 42 44 48 50 72 74 78 80 120 122	567812534058
SPT(16)	2562619456173599423	0 6 60 128 138 186 210 216 248 254 278 326 336 404 458 464	706163590542
STPT(10)	2562620075610992609	0 2 42 44 60 62 78 80 120 122	1325600983728
SPT(16)	2562620351231401147	0 36 82 84 124 130 136 150 166 180 186 192 232 234 280 316	1601221392266
TPT(14)	2562620728736393417	0 2 54 56 120 122 162 164 210 212 222 224 234 236	1978726384536