Prime p₀= 2393713893797497127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 82 2 46 2

TPT(14)	2393712856846565297	0 2 24 26 42 44 84 86 162 164 180 182 192 194	-1036950931830
SPT(16)	2393712897061259413	0 16 96 168 208 220 226 234 250 258 264 276 316 388 468 484	-996736237714
TPT(14)	2393713241368082129	0 2 60 62 138 140 150 152 198 200 210 212 312 314	-652429414998
SPT(16)	2393713339251070099	0 42 72 138 160 172 174 184 228 238 240 252 274 340 370 412	-554546427028
SPT(16)	2393713547186093731	0 16 46 58 60 82 96 120 148 172 186 208 210 222 252 268	-346611403396
SPT(16)	2393713691563769041	0 12 42 46 96 108 112 136 162 186 190 202 252 256 286 298	-202233728086
SPT(16)	2393714000931223063	0 30 58 60 70 130 184 234 274 324 378 438 448 450 478 508	107133725936
STPT(10)	2393714410620115391	0 2 6 8 48 50 90 92 96 98	516822618264
STPT(10)	2393714451166027877	0 2 30 32 42 44 54 56 84 86	557368530750
SPT(16)	2393714740094519291	0 20 86 90 92 108 162 212 246 296 350 366 368 372 438 458	846297022164
STPT(10)	2393714871694065287	0 2 30 32 42 44 54 56 84 86	977896568160