Prime p₀= 1586028217702176497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Icecold
db: batch=78, k=10, 2 10 2 28 2

SPT(16)	1586025816800277407	0 32 60 90 92 104 146 170 216 240 282 294 296 326 354 386	-2400901899090
SPT(16)	1586026418096625451	0 18 42 46 52 72 108 148 240 280 316 336 342 346 370 388	-1799605551046
SPT(16)	1586026454964751039	0 18 22 48 88 118 130 148 174 192 204 234 274 300 304 322	-1762737425458
STPT(10)	1586026840207476617	0 2 30 32 42 44 54 56 84 86	-1377494699880
SPT(16)	1586027535707274479	0 32 44 78 84 98 108 114 128 134 144 158 164 198 210 242	-681994902018
STPT(10)	1586027592158001611	0 2 66 68 108 110 150 152 216 218	-625544174886
SPT(16)	1586028225541910021	0 42 86 110 132 138 156 170 198 212 230 236 258 282 326 368	7839733524
SPT(16)	1586028520944685823	0 68 90 168 180 194 318 326 378 386 510 524 536 614 636 704	303242509326
TPT(14)	1586028990783404729	0 2 18 20 102 104 132 134 168 170 240 242 300 302	773081228232
SPT(16)	1586029092073037653	0 4 6 48 54 70 84 96 118 130 144 160 166 208 210 214	874370861156
SPT(16)	1586029106820775909	0 18 24 52 70 138 144 154 318 328 334 402 420 448 454 472	889118599412