Prime p₀= 2307400976804974637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2307399827843971697	0 6 20 26 36 42 72 90 92 110 140 146 156 162 176 182	-1148961002940
STPT(10)	2307399845403185969	0 2 42 44 60 62 78 80 120 122	-1131401788668
SPT(16)	2307400086952059851	0 8 72 92 120 176 198 212 306 320 342 398 426 446 510 518	-889852914786
SPT(16)	2307400149102711263	0 20 66 128 146 164 168 194 210 236 240 258 276 338 384 404	-827702263374
SPT(16)	2307400214199807887	0 2 30 80 102 116 140 146 210 216 240 254 276 326 354 356	-762605166750
STPT(10)	2307400801892573687	0 2 24 26 42 44 60 62 84 86	-174912400950
STPT(10)	2307400992636674939	0 2 12 14 90 92 168 170 180 182	15831700302
STPT(10)	2307401241347403587	0 2 12 14 42 44 72 74 84 86	264542428950
STPT(10)	2307401414026381637	0 2 30 32 42 44 54 56 84 86	437221407000
STPT(10)	2307401583623213897	0 2 30 32 42 44 54 56 84 86	606818239260
SPT(16)	2307401945819078659	0 12 28 40 42 84 94 130 132 168 178 220 222 234 250 262	969014104022