Prime p₀= 2351546986391753399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2351546082327986387	0 2 84 86 132 134 180 182 264 266	-904063767012
TPT(14)	2351546108045223611	0 2 60 62 90 92 156 158 198 200 216 218 306 308	-878346529788
SPT(16)	2351546111753325551	0 8 36 42 50 98 126 138 140 152 180 228 236 242 270 278	-874638427848
TPT(14)	2351546426554997597	0 2 30 32 90 92 210 212 300 302 330 332 354 356	-559836755802
SPT(16)	2351546716816035499	0 4 24 40 52 70 112 150 154 192 234 252 264 280 300 304	-269575717900
STPT(10)	2351546717898906497	0 2 12 14 72 74 132 134 144 146	-268492846902
STPT(12)	2351547182169186887	0 2 30 32 144 146 240 242 354 356 384 386	195777433488
SPT(16)	2351547398177646727	0 10 24 36 70 100 114 126 220 232 246 276 310 322 336 346	411785893328
SPT(16)	2351547589408863619	0 30 100 118 144 154 160 184 228 252 258 268 294 312 382 412	603017110220
SPT(16)	2351547724483242937	0 4 12 60 124 144 172 196 210 234 262 282 346 394 402 406	738091489538
SPT(16)	2351547869863030087	0 16 64 82 112 124 162 184 222 244 282 294 324 342 390 406	883471276688