Prime p₀= 1685516887893383117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: suriv
db: batch=79, k=10, 2 22 2 16 2

SPT(16)	1685515586202867527	0 12 54 72 114 122 164 182 192 210 252 260 302 320 362 374	-1301690515590
TPT(14)	1685515597219421081	0 2 6 8 30 32 36 38 156 158 186 188 246 248	-1290673962036
SPT(16)	1685515611357722737	0 52 60 64 90 120 130 216 250 336 346 376 402 406 414 466	-1276535660380
STPT(10)	1685515708168361981	0 2 6 8 18 20 30 32 36 38	-1179725021136
TPT(14)	1685515858829224547	0 2 30 32 102 104 114 116 180 182 234 236 312 314	-1029064158570
STPT(10)	1685515864272841421	0 2 6 8 18 20 30 32 36 38	-1023620541696
SPT(16)	1685517067344534283	0 10 30 54 90 124 150 166 168 184 210 244 280 304 324 334	179451151166
STPT(10)	1685517155936105717	0 2 30 32 42 44 54 56 84 86	268042722600
STPT(10)	1685517222500308667	0 2 30 32 42 44 54 56 84 86	334606925550
SPT(16)	1685517627382990309	0 12 18 42 88 132 174 184 198 208 250 294 340 364 370 382	739489607192
STPT(10)	1685517803157276617	0 2 60 62 72 74 84 86 144 146	915263893500