Prime p₀= 2422814521473260417 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

SPT(16)	2422813424939175509	0 8 42 44 68 164 180 198 314 332 348 444 468 470 504 512	-1096534084908
STPT(10)	2422813540474144709	0 2 48 50 90 92 132 134 180 182	-980999115708
STPT(10)	2422813782597514091	0 2 30 32 78 80 126 128 156 158	-738875746326
SPT(18)	2422813949863438223	0 44 96 228 236 254 284 330 336 338 344 390 420 438 446 578 630 674	-571609822194
SPT(16)	2422814056412132101	0 6 46 90 130 160 196 202 330 336 372 402 442 486 526 532	-465061128316
STPT(10)	2422814351238834731	0 2 6 8 48 50 90 92 96 98	-170234425686
SPT(16)	2422814727893014661	0 12 68 72 156 162 198 218 240 260 296 302 386 390 446 458	206419754244
SPT(16)	2422814741314028539	0 4 10 22 52 84 108 112 150 154 178 210 240 252 258 262	219840768122
SPT(16)	2422814805830567417	0 12 86 104 114 180 224 240 356 372 416 482 492 510 584 596	284357307000
STPT(10)	2422815864756424997	0 2 30 32 72 74 114 116 144 146	1343283164580
STPT(10)	2422816342199776319	0 2 18 20 30 32 42 44 60 62	1820726515902