Prime p₀= 2223946119204132599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 70 2 70 2 76 2 (?)
a_n: 0 2 78 80 150 152 222 224 300 302
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: 302
Found by: Penguin
db: batch=81, k=10, 2 76 2 70 2

STPT(10)	2223944378780469617	0 2 24 26 42 44 60 62 84 86	-1740423662982
SPT(16)	2223944467880513743	0 16 46 54 70 96 100 106 228 234 238 264 280 288 318 334	-1651323618856
SPT(16)	2223944835741608977	0 82 100 144 154 156 214 244 252 282 340 342 352 396 414 496	-1283462523622
SPT(16)	2223944993083350619	0 24 52 60 82 102 112 124 150 162 172 192 214 222 250 274	-1126120781980
SPT(16)	2223945619950182209	0 4 22 34 90 132 184 250 372 438 490 532 588 600 618 622	-499253950390
SPT(16)	2223945712287317129	0 2 30 38 72 102 104 132 350 378 380 410 444 452 480 482	-406916815470
SPT(16)	2223946199762695973	0 6 26 54 96 138 140 180 224 264 266 308 350 378 398 404	80558563374
SPT(16)	2223946304618715491	0 86 168 182 206 240 302 306 332 336 398 432 456 470 552 638	185414582892
STPT(10)	2223946317979742561	0 2 6 8 18 20 30 32 36 38	198775609962
STPT(10)	2223946483378032167	0 2 30 32 42 44 54 56 84 86	364173899568
SPT(16)	2223947167473006589	0 34 48 52 82 94 154 162 250 258 318 330 360 364 378 412	1048268873990