Prime p₀= 2081728319149118207 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2081727034618671017	0 2 30 32 42 44 54 56 84 86	-1284530447190
STPT(10)	2081727048143944637	0 2 42 44 72 74 102 104 144 146	-1271005173570
STPT(10)	2081727225240105809	0 2 42 44 60 62 78 80 120 122	-1093909012398
SPT(16)	2081727565984184977	0 24 42 46 52 84 112 124 132 144 172 204 210 214 232 256	-753164933230
SPT(16)	2081727915781173337	0 34 40 42 52 66 82 96 130 144 160 174 184 186 192 226	-403367944870
SPT(16)	2081728237520626049	0 12 42 104 168 194 200 218 234 252 258 284 348 410 440 452	-81628492158
SPT(16)	2081728334426694803	0 24 36 80 134 146 156 204 260 308 318 330 384 428 440 464	15277576596
SPT(16)	2081728404046100401	0 72 76 100 102 126 130 160 168 198 202 226 228 252 256 328	84896982194
SPT(16)	2081728913442381367	0 6 10 16 54 66 90 124 126 160 184 196 234 240 244 250	594293263160
STPT(10)	2081729595980329637	0 2 24 26 42 44 60 62 84 86	1276831211430
STPT(10)	2081729842266384221	0 2 6 8 18 20 30 32 36 38	1523117266014