Prime p₀= 3105508619967597047 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: Groo
db: batch=83, k=10, 2 10 2 28 2

SPT(16)	3105506187661069627	0 4 10 52 54 70 102 112 162 172 204 220 222 264 270 274	-2432306527420
STPT(10)	3105506774400375617	0 2 24 26 42 44 60 62 84 86	-1845567221430
SPT(18)	3105507534416425363	0 40 64 114 156 166 168 180 268 276 364 376 378 388 430 480 504 544	-1085551171684
STPT(10)	3105507927565468091	0 2 6 8 18 20 30 32 36 38	-692402128956
SPT(16)	3105508022278013899	0 54 72 148 154 162 192 210 292 310 340 348 354 430 448 502	-597689583148
SPT(16)	3105508109937152531	0 96 152 192 218 252 276 278 360 362 386 420 446 486 542 638	-510030444516
TPT(16)	3105508754105018291	0 2 186 188 240 242 396 398 420 422 426 428 456 458 468 470	134137421244
STPT(10)	3105508799849714801	0 2 6 8 48 50 90 92 96 98	179882117754
SPT(16)	3105509090091517541	0 38 50 56 120 132 168 180 188 200 236 248 312 318 330 368	470123920494
SPT(16)	3105509121662141627	0 2 20 26 30 44 56 140 156 240 252 266 270 276 294 296	501694544580
STPT(10)	3105509467652311931	0 2 30 32 78 80 126 128 156 158	847684714884