Prime p₀= 2315767253023412861 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2315766468404401223	0 26 30 50 60 74 78 96 98 116 120 134 144 164 168 194	-784619011638
SPT(16)	2315766578052453203	0 14 54 60 80 86 98 116 138 156 168 174 194 200 240 254	-674970959658
SPT(16)	2315766690779218217	0 2 14 32 72 80 104 144 170 210 234 242 282 300 312 314	-562244194644
STPT(10)	2315766857338800947	0 2 54 56 72 74 90 92 144 146	-395684611914
STPT(10)	2315767004471179937	0 2 60 62 72 74 84 86 144 146	-248552232924
STPT(10)	2315767122609806027	0 2 30 32 42 44 54 56 84 86	-130413606834
SPT(18)	2315767342178029373	0 20 44 54 60 86 98 116 134 390 408 426 438 464 470 480 504 524	89154616512
STPT(10)	2315767365032526047	0 2 24 26 42 44 60 62 84 86	112009113186
SPT(16)	2315767441354964017	0 54 94 150 172 214 252 262 264 274 312 354 376 432 472 526	188331551156
STPT(10)	2315768129613909071	0 2 6 8 48 50 90 92 96 98	876590496210
SPT(16)	2315768450180127433	0 18 30 40 124 168 178 210 238 270 280 324 408 418 430 448	1197156714572