Prime p₀= 2565521098139452067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2565519608301746429	0 2 48 50 90 92 132 134 180 182	-1489837705638
STPT(10)	2565520128375749729	0 2 18 20 30 32 42 44 60 62	-969763702338
SPT(16)	2565520266439203251	0 8 12 80 90 98 120 128 132 140 162 170 180 248 252 260	-831700248816
SPT(16)	2565520641181113397	0 6 12 84 94 96 106 124 132 150 160 162 172 244 250 256	-456958338670
SPT(16)	2565520715720910611	0 2 32 102 110 132 146 152 186 192 206 228 236 306 336 338	-382418541456
SPT(16)	2565521000185134809	0 12 80 102 108 182 258 270 272 284 360 434 440 462 530 542	-97954317258
STPT(10)	2565521109923349839	0 2 18 20 30 32 42 44 60 62	11783897772
SPT(16)	2565521582090857919	0 2 60 162 180 182 204 222 260 278 300 302 320 422 480 482	483951405852
SPT(16)	2565521787893033441	0 6 20 80 132 150 156 182 390 416 422 440 492 552 566 572	689753581374
STPT(10)	2565522144385863539	0 2 30 32 60 62 90 92 120 122	1046246411472
STPT(10)	2565522660514802957	0 2 90 92 150 152 210 212 300 302	1562375350890