Prime p₀= 2307400801892573687 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2307399360945935209	0 100 114 142 160 178 262 274 408 420 504 522 540 568 582 682	-1440946638478
SPT(16)	2307399827843971697	0 6 20 26 36 42 72 90 92 110 140 146 156 162 176 182	-974048601990
STPT(10)	2307399845403185969	0 2 42 44 60 62 78 80 120 122	-956489387718
SPT(16)	2307400086952059851	0 8 72 92 120 176 198 212 306 320 342 398 426 446 510 518	-714940513836
SPT(16)	2307400149102711263	0 20 66 128 146 164 168 194 210 236 240 258 276 338 384 404	-652789862424
SPT(16)	2307400214199807887	0 2 30 80 102 116 140 146 210 216 240 254 276 326 354 356	-587692765800
STPT(10)	2307400976804974637	0 2 30 32 72 74 114 116 144 146	174912400950
STPT(10)	2307400992636674939	0 2 12 14 90 92 168 170 180 182	190744101252
STPT(10)	2307401241347403587	0 2 12 14 42 44 72 74 84 86	439454829900
STPT(10)	2307401414026381637	0 2 30 32 42 44 54 56 84 86	612133807950
STPT(10)	2307401583623213897	0 2 30 32 42 44 54 56 84 86	781730640210