Prime p₀= 2170559310499279067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Penguin
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2170557783905117401	0 42 58 126 172 202 268 280 288 300 366 396 442 510 526 568	-1526594161666
STPT(10)	2170557955949077547	0 2 30 32 72 74 114 116 144 146	-1354550201520
SPT(16)	2170558152103170329	0 30 42 68 78 108 110 140 162 192 194 224 234 260 272 302	-1158396108738
SPT(16)	2170558420716967783	0 6 34 78 108 126 190 210 214 234 298 316 346 390 418 424	-889782311284
SPT(16)	2170558677575147533	0 10 36 46 60 88 90 160 204 274 276 304 318 328 354 364	-632924131534
TPT(14)	2170558827087802817	0 2 12 14 54 56 84 86 120 122 180 182 240 242	-483411476250
STPT(10)	2170559311055936399	0 2 18 20 30 32 42 44 60 62	556657332
STPT(10)	2170559689687300799	0 2 18 20 30 32 42 44 60 62	379188021732
SPT(16)	2170559723703847309	0 12 52 70 78 94 100 124 138 162 168 184 192 210 250 262	413204568242
STPT(10)	2170559814933155207	0 2 42 44 72 74 102 104 144 146	504433876140
STPT(10)	2170559897677978487	0 2 30 32 102 104 174 176 204 206	587178699420