Prime p₀= 2217725719471042127 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2217723753953185337	0 2 54 56 72 74 114 116 270 272 312 314 390 392	-1965517856790
STPT(10)	2217723887280432857	0 2 30 32 42 44 54 56 84 86	-1832190609270
SPT(16)	2217724062596694341	0 96 110 156 182 210 252 270 422 440 482 510 536 582 596 692	-1656874347786
STPT(10)	2217724470994940357	0 2 90 92 102 104 114 116 204 206	-1248476101770
SPT(16)	2217724471309074359	0 24 60 90 92 144 162 164 168 170 188 240 242 272 308 332	-1248161967768
SPT(16)	2217724819307010851	0 8 38 48 92 102 126 162 206 242 266 276 320 330 360 368	-900164031276
SPT(16)	2217725863538083039	0 30 58 72 114 138 148 172 180 204 214 238 280 294 322 352	144067040912
SPT(16)	2217726030612964667	0 20 42 54 60 80 120 132 152 164 204 224 230 242 264 284	311141922540
SPT(16)	2217726074960469511	0 12 22 28 42 70 106 120 148 162 198 226 240 246 256 268	355489427384
STPT(10)	2217726101679070637	0 2 54 56 72 74 90 92 144 146	382208028510
STPT(10)	2217726150744232949	0 2 18 20 30 32 42 44 60 62	431273190822