Prime p₀= 2119266982742294657 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2119265916260424947	0 12 36 120 152 164 182 192 224 234 252 264 296 380 404 416	-1066481869710
TPT(14)	2119266340984854239	0 2 12 14 48 50 90 92 168 170 252 254 258 260	-641757440418
STPT(10)	2119266346547148647	0 2 30 32 60 62 90 92 120 122	-636195146010
STPT(10)	2119266840766128197	0 2 60 62 72 74 84 86 144 146	-141976166460
SPT(16)	2119266937286363797	0 34 52 60 66 76 84 136 210 262 270 280 286 294 312 346	-45455930860
SPT(16)	2119266974876908697	0 12 26 44 60 66 74 86 150 162 170 176 192 210 224 236	-7865385960
STPT(10)	2119267072242675539	0 2 18 20 30 32 42 44 60 62	89500380882
SPT(16)	2119267108882587359	0 14 50 68 78 90 120 150 152 182 212 224 234 252 288 302	126140292702
STPT(10)	2119267734573995561	0 2 6 8 48 50 90 92 96 98	751831700904
STPT(10)	2119267799680151669	0 2 48 50 90 92 132 134 180 182	816937857012
SPT(16)	2119267998680553547	0 30 66 84 106 126 136 150 190 204 214 234 256 274 310 340	1015938258890