Prime p₀= 3717638622659166617 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: TankbusterGames
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	3717637724408028209	0 18 38 90 98 138 182 222 230 270 314 354 362 414 434 452	-898251138408
SPT(16)	3717637795275616787	0 56 110 120 126 156 204 222 224 242 290 320 326 336 390 446	-827383549830
SPT(16)	3717637816149339737	0 44 50 72 74 92 102 144 152 194 204 222 224 246 252 296	-806509826880
STPT(12)	3717637822727151707	0 2 60 62 72 74 222 224 234 236 294 296	-799932014910
STPT(10)	3717638383752695117	0 2 72 74 102 104 132 134 204 206	-238906471500
TPT(14)	3717638556174708047	0 2 54 56 84 86 114 116 150 152 234 236 264 266	-66484458570
TPT(14)	3717638750176868051	0 2 6 8 36 38 78 80 96 98 120 122 138 140	127517701434
TPT(14)	3717639792992023859	0 2 30 32 78 80 198 200 270 272 330 332 372 374	1170332857242
SPT(16)	3717640647382017287	0 12 26 32 74 84 92 116 120 144 152 162 204 210 224 236	2024722850670
SPT(16)	3717640759008243911	0 2 8 26 32 50 56 72 116 132 138 156 162 180 186 188	2136349077294
STPT(10)	3717641888620912751	0 2 36 38 78 80 120 122 156 158	3265961746134