Prime p₀= 2637513693335202527 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2637512181656576069	0 2 18 20 30 32 42 44 60 62	-1511678626458
STPT(10)	2637512793024891317	0 2 30 32 42 44 54 56 84 86	-900310311210
SPT(16)	2637513070113721273	0 6 64 94 96 130 180 210 214 244 294 328 330 360 418 424	-623221481254
TPT(14)	2637513196163479409	0 2 12 14 18 20 72 74 150 152 312 314 360 362	-497171723118
TPT(14)	2637513237116867231	0 2 36 38 48 50 90 92 108 110 150 152 456 458	-456218335296
SPT(16)	2637513330573693529	0 42 52 118 144 202 214 270 292 348 360 418 444 510 520 562	-362761508998
SPT(16)	2637513742937658349	0 58 78 94 142 150 172 174 298 300 322 330 378 394 414 472	49602455822
STPT(12)	2637513872848657457	0 2 42 44 90 92 132 134 180 182 222 224	179513454930
SPT(16)	2637515183211465569	0 18 20 42 50 78 132 182 228 278 332 360 368 390 392 410	1489876263042
SPT(16)	2637515619107855041	0 100 138 166 238 262 286 322 516 552 576 600 672 700 738 838	1925772652514
STPT(10)	2637515808964958639	0 2 48 50 90 92 132 134 180 182	2115629756112