Prime p₀= 2090970347682998627 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: CoolAtchOk
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2090967457277404001	0 2 6 8 18 20 30 32 36 38	-2890405594626
TPT(14)	2090967669834059129	0 2 12 14 78 80 168 170 180 182 192 194 240 242	-2677848939498
SPT(16)	2090968096245767603	0 20 30 44 50 56 96 120 194 218 258 264 270 284 294 314	-2251437231024
SPT(16)	2090969562641629447	0 16 40 42 66 72 126 150 196 220 274 280 304 306 330 346	-785041369180
STPT(10)	2090969943406757561	0 2 30 32 78 80 126 128 156 158	-404276241066
STPT(10)	2090970016809858011	0 2 36 38 78 80 120 122 156 158	-330873140616
STPT(10)	2090970502109577677	0 2 30 32 42 44 54 56 84 86	154426579050
SPT(16)	2090970546985063067	0 24 30 42 62 120 132 140 156 164 176 234 254 266 272 296	199302064440
STPT(10)	2090970670267795409	0 2 42 44 60 62 78 80 120 122	322584796782
STPT(10)	2090970863265039311	0 2 78 80 108 110 138 140 216 218	515582040684
STPT(10)	2090970965628441077	0 2 30 32 42 44 54 56 84 86	617945442450