Prime p₀= 2564246904041078297 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

STPT(10)	2564245341838984589	0 2 30 32 60 62 90 92 120 122	-1562202093708
SPT(16)	2564245353973659143	0 14 30 50 98 120 126 128 186 188 194 216 264 284 300 314	-1550067419154
SPT(16)	2564245488853831207	0 10 36 102 130 132 150 162 244 256 274 276 304 370 396 406	-1415187247090
SPT(16)	2564245527943437977	0 36 56 62 74 92 126 132 254 260 294 312 324 330 350 386	-1376097640320
SPT(16)	2564246087755938571	0 16 42 96 142 156 192 222 256 286 322 336 382 436 462 478	-816285139726
SPT(16)	2564246616867697019	0 18 62 110 114 152 194 222 230 258 300 338 342 390 434 452	-287173381278
STPT(10)	2564247323939247929	0 2 48 50 90 92 132 134 180 182	419898169632
STPT(10)	2564247706610646611	0 2 36 38 78 80 120 122 156 158	802569568314
STPT(10)	2564248111059914087	0 2 30 32 42 44 54 56 84 86	1207018835790
SPT(16)	2564248452603487999	0 34 42 48 60 72 88 138 214 264 280 292 304 310 318 352	1548562409702
STPT(10)	2564248515340401941	0 2 6 8 18 20 30 32 36 38	1611299323644