Prime p₀= 2564444484537498749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2564441396178207389	0 2 18 20 30 32 42 44 60 62	-3088359291360
SPT(16)	2564442225243748891	0 12 100 112 156 166 210 216 292 298 342 352 396 408 496 508	-2259293749858
SPT(16)	2564442472725899819	0 8 18 50 62 98 114 120 182 188 204 240 252 284 294 302	-2011811598930
SPT(16)	2564443787995196537	0 2 6 72 146 216 222 236 240 254 260 330 404 470 474 476	-696542302212
STPT(12)	2564444024677458059	0 2 12 14 42 44 48 50 78 80 90 92	-459860040690
STPT(10)	2564444106434669267	0 2 12 14 42 44 72 74 84 86	-378102829482
TPT(14)	2564444638418976239	0 2 78 80 90 92 168 170 180 182 192 194 288 290	153881477490
TPT(14)	2564444640617463389	0 2 30 32 60 62 90 92 102 104 162 164 258 260	156079964640
STPT(10)	2564445324304232261	0 2 6 8 48 50 90 92 96 98	839766733512
SPT(16)	2564445409537664959	0 4 18 22 34 124 132 174 208 250 258 348 360 364 378 382	925000166210
TPT(14)	2564445549074385617	0 2 12 14 42 44 60 62 144 146 222 224 312 314	1064536886868