Prime p₀= 2561692691262508511 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=82, k=10, 2 34 2 40 2

TPT(14)	2561691371565886409	0 2 180 182 210 212 222 224 258 260 288 290 300 302	-1319696622102
SPT(16)	2561691594396406181	0 8 12 20 56 62 68 86 132 150 156 162 198 206 210 218	-1096866102330
SPT(16)	2561691616100503279	0 18 42 54 72 82 108 130 162 184 210 220 238 250 274 292	-1075162005232
STPT(10)	2561691878285415719	0 2 18 20 30 32 42 44 60 62	-812977092792
STPT(10)	2561692581817347239	0 2 48 50 60 62 72 74 120 122	-109445161272
STPT(10)	2561692634835265817	0 2 54 56 72 74 90 92 144 146	-56427242694
STPT(10)	2561693029691066387	0 2 30 32 42 44 54 56 84 86	338428557876
STPT(10)	2561693490761304857	0 2 24 26 42 44 60 62 84 86	799498796346
SPT(16)	2561694046006943699	0 62 78 122 140 164 200 218 234 252 288 312 330 374 390 452	1354744435188
STPT(10)	2561695039939301207	0 2 30 32 42 44 54 56 84 86	2348676792696
STPT(12)	2561695563055975349	0 2 12 14 42 44 48 50 78 80 90 92	2871793466838