Prime p₀= 2731609131725433527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2731608363115155613	0 18 34 60 78 94 138 144 154 160 204 220 238 264 280 298	-768610277914
TPT(14)	2731608460385410271	0 2 30 32 66 68 120 122 240 242 288 290 318 320	-671340023256
STPT(10)	2731608506441558837	0 2 30 32 60 62 90 92 120 122	-625283874690
STPT(10)	2731608603292695317	0 2 42 44 72 74 102 104 144 146	-528432738210
STPT(10)	2731608707355335699	0 2 48 50 90 92 132 134 180 182	-424370097828
STPT(10)	2731609034824786937	0 2 60 62 72 74 84 86 144 146	-96900646590
SPT(16)	2731609272206514787	0 6 40 42 70 114 142 180 196 234 262 306 334 336 370 376	140481081260
STPT(10)	2731609332362546099	0 2 48 50 60 62 72 74 120 122	200637112572
SPT(16)	2731609558981353047	0 56 60 72 104 114 126 170 216 260 272 282 314 326 330 386	427255919520
SPT(16)	2731609595194739249	0 2 60 72 90 102 132 144 170 182 212 224 242 254 312 314	463469305722
SPT(16)	2731609773538017809	0 30 38 72 90 132 170 188 192 210 248 290 308 342 350 380	641812584282