Prime p₀= 2223946317979742561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Penguin
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2223944993083350619	0 24 52 60 82 102 112 124 150 162 172 192 214 222 250 274	-1324896391942
SPT(16)	2223945619950182209	0 4 22 34 90 132 184 250 372 438 490 532 588 600 618 622	-698029560352
SPT(16)	2223945712287317129	0 2 30 38 72 102 104 132 350 378 380 410 444 452 480 482	-605692425432
STPT(10)	2223946119204132599	0 2 78 80 150 152 222 224 300 302	-198775609962
SPT(16)	2223946199762695973	0 6 26 54 96 138 140 180 224 264 266 308 350 378 398 404	-118217046588
SPT(16)	2223946304618715491	0 86 168 182 206 240 302 306 332 336 398 432 456 470 552 638	-13361027070
STPT(10)	2223946483378032167	0 2 30 32 42 44 54 56 84 86	165398289606
SPT(16)	2223947167473006589	0 34 48 52 82 94 154 162 250 258 318 330 360 364 378 412	849493264028
STPT(10)	2223947489002883561	0 2 30 32 78 80 126 128 156 158	1171023141000
TPT(14)	2223947586575491277	0 2 174 176 180 182 210 212 222 224 282 284 384 386	1268595748716
STPT(10)	2223947708844370079	0 2 18 20 30 32 42 44 60 62	1390864627518