Prime p₀= 2353808123196866459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: MarkRBright
db: batch=81, k=10, 2 10 2 16 2

STPT(10)	2353805910293508491	0 2 6 8 18 20 30 32 36 38	-2212903357968
STPT(12)	2353805940159462947	0 2 12 14 54 56 90 92 132 134 144 146	-2183037403512
STPT(10)	2353806479268026927	0 2 42 44 72 74 102 104 144 146	-1643928839532
STPT(10)	2353806748214918387	0 2 30 32 42 44 54 56 84 86	-1374981948072
STPT(10)	2353806923428271807	0 2 60 62 72 74 84 86 144 146	-1199768594652
TPT(14)	2353807975750509737	0 2 42 44 54 56 60 62 114 116 174 176 180 182	-147446356722
SPT(16)	2353808342665528457	0 24 36 66 86 92 132 234 272 374 414 420 440 470 482 506	219468661998
STPT(10)	2353808821452851207	0 2 30 32 42 44 54 56 84 86	698255984748
SPT(16)	2353808879735603687	0 20 42 74 96 126 146 152 294 300 320 350 372 404 426 446	756538737228
SPT(16)	2353809162660464059	0 22 24 42 88 94 102 160 162 220 228 234 280 298 300 322	1039463597600
SPT(16)	2353809391870017713	0 48 90 98 120 140 146 158 216 228 234 254 276 284 326 374	1268673151254