Prime p₀= 2223944378780469617 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2223943361112161387	0 20 56 84 132 144 150 186 230 266 272 284 332 360 396 416	-1017668308230
STPT(10)	2223943403193168197	0 2 72 74 102 104 132 134 204 206	-975587301420
TPT(14)	2223943502770864517	0 2 12 14 54 56 102 104 282 284 324 326 390 392	-876009605100
STPT(10)	2223944071422114869	0 2 42 44 60 62 78 80 120 122	-307358354748
STPT(10)	2223944165703044747	0 2 30 32 42 44 54 56 84 86	-213077424870
SPT(16)	2223944370527934251	0 38 60 72 86 108 140 152 156 168 200 222 236 248 270 308	-8252535366
SPT(16)	2223944467880513743	0 16 46 54 70 96 100 106 228 234 238 264 280 288 318 334	89100044126
SPT(16)	2223944835741608977	0 82 100 144 154 156 214 244 252 282 340 342 352 396 414 496	456961139360
SPT(16)	2223944993083350619	0 24 52 60 82 102 112 124 150 162 172 192 214 222 250 274	614302881002
SPT(16)	2223945619950182209	0 4 22 34 90 132 184 250 372 438 490 532 588 600 618 622	1241169712592
SPT(16)	2223945712287317129	0 2 30 38 72 102 104 132 350 378 380 410 444 452 480 482	1333506847512