Prime p₀= 2701134015435058517 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: biodoc
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2701131580277144611	0 42 76 100 102 130 168 190 198 220 258 286 288 312 346 388	-2435157913906
TPT(14)	2701132013646432029	0 2 42 44 138 140 252 254 360 362 408 410 438 440	-2001788626488
STPT(10)	2701132830356734127	0 2 12 14 72 74 132 134 144 146	-1185078324390
SPT(16)	2701132888321540219	0 30 40 52 60 112 114 130 162 178 180 232 240 252 262 292	-1127113518298
SPT(16)	2701133002658403323	0 30 36 54 104 108 110 150 194 234 236 240 290 308 314 344	-1012776655194
STPT(12)	2701133667417646259	0 2 30 32 78 80 162 164 210 212 240 242	-348017412258
STPT(10)	2701134662307152117	0 2 54 56 72 74 90 92 144 146	646872093600
SPT(16)	2701134929716178477	0 30 32 54 74 104 120 144 212 236 252 282 302 324 326 356	914281119960
STPT(10)	2701134940628015117	0 2 30 32 72 74 114 116 144 146	925192956600
STPT(10)	2701135146146047241	0 2 36 38 78 80 120 122 156 158	1130710988724
TPT(14)	2701135360979137937	0 2 54 56 72 74 162 164 324 326 360 362 402 404	1345544079420