Prime p₀= 2564247706610646611 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: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2564245488853831207	0 10 36 102 130 132 150 162 244 256 274 276 304 370 396 406	-2217756815404
SPT(16)	2564245527943437977	0 36 56 62 74 92 126 132 254 260 294 312 324 330 350 386	-2178667208634
SPT(16)	2564246087755938571	0 16 42 96 142 156 192 222 256 286 322 336 382 436 462 478	-1618854708040
SPT(16)	2564246616867697019	0 18 62 110 114 152 194 222 230 258 300 338 342 390 434 452	-1089742949592
STPT(10)	2564246904041078297	0 2 30 32 42 44 54 56 84 86	-802569568314
STPT(10)	2564247323939247929	0 2 48 50 90 92 132 134 180 182	-382671398682
STPT(10)	2564248111059914087	0 2 30 32 42 44 54 56 84 86	404449267476
SPT(16)	2564248452603487999	0 34 42 48 60 72 88 138 214 264 280 292 304 310 318 352	745992841388
STPT(10)	2564248515340401941	0 2 6 8 18 20 30 32 36 38	808729755330
SPT(16)	2564248642795959727	0 6 24 40 82 90 136 166 180 210 256 264 306 322 340 346	936185313116
SPT(16)	2564248708178137727	0 54 90 102 146 164 194 200 216 222 252 270 314 326 362 416	1001567491116