Prime p₀= 2564248111059914087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2564245527943437977	0 36 56 62 74 92 126 132 254 260 294 312 324 330 350 386	-2583116476110
SPT(16)	2564246087755938571	0 16 42 96 142 156 192 222 256 286 322 336 382 436 462 478	-2023303975516
SPT(16)	2564246616867697019	0 18 62 110 114 152 194 222 230 258 300 338 342 390 434 452	-1494192217068
STPT(10)	2564246904041078297	0 2 30 32 42 44 54 56 84 86	-1207018835790
STPT(10)	2564247323939247929	0 2 48 50 90 92 132 134 180 182	-787120666158
STPT(10)	2564247706610646611	0 2 36 38 78 80 120 122 156 158	-404449267476
SPT(16)	2564248452603487999	0 34 42 48 60 72 88 138 214 264 280 292 304 310 318 352	341543573912
STPT(10)	2564248515340401941	0 2 6 8 18 20 30 32 36 38	404280487854
SPT(16)	2564248642795959727	0 6 24 40 82 90 136 166 180 210 256 264 306 322 340 346	531736045640
SPT(16)	2564248708178137727	0 54 90 102 146 164 194 200 216 222 252 270 314 326 362 416	597118223640
SPT(16)	2564250166407929369	0 12 32 60 90 110 140 152 222 234 264 284 314 342 362 374	2055348015282