Prime p₀= 2565159131520081791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2565158406126676033	0 6 24 60 70 76 84 90 130 136 144 150 160 196 214 220	-725393405758
SPT(16)	2565158782519905629	0 18 30 44 54 68 194 210 212 228 354 368 378 392 404 422	-349000176162
TPT(14)	2565158871123975569	0 2 18 20 78 80 120 122 198 200 282 284 342 344	-260396106222
STPT(10)	2565158895345662129	0 2 48 50 90 92 132 134 180 182	-236174419662
STPT(10)	2565158932675466339	0 2 42 44 60 62 78 80 120 122	-198844615452
STPT(10)	2565158955219031607	0 2 42 44 72 74 102 104 144 146	-176301050184
STPT(10)	2565159430462175621	0 2 6 8 48 50 90 92 96 98	298942093830
SPT(16)	2565159880255918811	0 8 20 38 42 68 90 92 138 140 162 188 192 210 222 230	748735837020
STPT(10)	2565159979216547927	0 2 30 32 42 44 54 56 84 86	847696466136
SPT(16)	2565160200438047371	0 42 76 78 82 108 118 130 168 180 190 216 220 222 256 298	1068917965580
TPT(14)	2565160907914993187	0 2 90 92 114 116 132 134 204 206 270 272 324 326	1776394911396