Prime p₀= 2437971616566824477 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: SEARCHER
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2437969511169513161	0 2 36 38 78 80 120 122 156 158	-2105397311316
STPT(10)	2437969618437972761	0 2 6 8 18 20 30 32 36 38	-1998128851716
SPT(16)	2437969673013134593	0 6 40 78 90 100 114 120 124 130 144 154 166 204 238 244	-1943553689884
STPT(10)	2437970222867532959	0 2 48 50 90 92 132 134 180 182	-1393699291518
SPT(16)	2437970336757093221	0 2 18 32 80 102 108 152 156 200 206 228 276 290 306 308	-1279809731256
SPT(16)	2437970392101341879	0 84 92 104 152 200 242 272 300 330 372 420 468 480 488 572	-1224465482598
STPT(10)	2437972381015995077	0 2 72 74 102 104 132 134 204 206	764449170600
SPT(16)	2437972390085342609	0 30 32 48 90 114 132 140 162 170 188 212 254 270 272 302	773518518132
STPT(10)	2437972604924862347	0 2 24 26 42 44 60 62 84 86	988358037870
SPT(16)	2437972615504662199	0 78 108 118 160 190 192 208 342 358 360 390 432 442 472 550	998937837722
SPT(16)	2437973019313037417	0 66 80 84 92 134 186 200 246 260 312 354 362 366 380 446	1402746212940