Prime p₀= 2316502212902772449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 40 2

STPT(10)	2316500687118427169	0 2 42 44 180 182 318 320 360 362	-1525784345280
TPT(14)	2316500758608468161	0 2 78 80 156 158 198 200 270 272 690 692 756 758	-1454294304288
TPT(14)	2316500934319063157	0 2 12 14 24 26 30 32 42 44 120 122 162 164	-1278583709292
STPT(10)	2316501260986866377	0 2 54 56 72 74 90 92 144 146	-951915906072
STPT(10)	2316501851335838357	0 2 42 44 72 74 102 104 144 146	-361566934092
SPT(16)	2316502207819982423	0 30 38 54 90 104 146 180 224 258 300 314 350 366 374 404	-5082790026
STPT(10)	2316502385302356857	0 2 12 14 72 74 132 134 144 146	172399584408
SPT(16)	2316502497088348801	0 42 46 72 112 178 192 240 268 316 330 396 436 462 466 508	284185576352
STPT(10)	2316502928779301807	0 2 30 32 42 44 54 56 84 86	715876529358
SPT(16)	2316503050936260341	0 18 42 56 110 138 152 180 338 366 380 408 462 476 500 518	838033487892
STPT(10)	2316503190439409999	0 2 18 20 30 32 42 44 60 62	977536637550