Prime p₀= 3715476205498332617 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: Sphynx
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	3715474837188434867	0 2 30 42 56 66 96 110 156 170 200 210 224 236 264 266	-1368309897750
SPT(16)	3715475023112733451	0 48 60 90 120 138 190 240 340 390 442 460 490 520 532 580	-1182385599166
STPT(10)	3715475363570399447	0 2 12 14 72 74 132 134 144 146	-841927933170
TPT(14)	3715475957849066237	0 2 12 14 114 116 192 194 204 206 222 224 234 236	-247649266380
SPT(16)	3715475965199846401	0 16 30 102 142 162 196 198 220 222 256 276 316 388 402 418	-240298486216
SPT(16)	3715476022928371063	0 6 10 40 46 64 76 88 126 138 150 168 174 204 208 214	-182569961554
SPT(16)	3715476305968044973	0 18 40 120 148 180 186 208 318 340 346 378 406 486 508 526	100469712356
SPT(16)	3715476369605540149	0 24 60 124 130 162 190 192 250 252 280 312 318 382 418 442	164107207532
STPT(10)	3715476826641318239	0 2 48 50 90 92 132 134 180 182	621142985622
SPT(16)	3715477134254766697	0 10 64 84 94 150 172 202 204 234 256 312 322 342 396 406	928756434080
SPT(16)	3715477658616832417	0 64 82 162 226 262 280 292 294 306 324 360 424 504 522 586	1453118499800