Prime p₀= 2534268579494123777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Rantanplan
db: batch=82, k=10, 2 82 2 46 2

TPT(14)	2534267495516637737	0 2 24 26 42 44 84 86 162 164 174 176 294 296	-1083977486040
SPT(16)	2534267672308993823	0 44 60 66 80 86 108 144 170 206 228 234 248 254 270 314	-907185129954
SPT(16)	2534267836848830441	0 20 30 38 56 86 140 146 150 156 210 240 258 266 276 296	-742645293336
SPT(16)	2534267837434885913	0 14 18 44 60 96 114 126 128 140 158 194 210 236 240 254	-742059237864
STPT(10)	2534268151529814767	0 2 12 14 72 74 132 134 144 146	-427964309010
STPT(10)	2534268373372113797	0 2 12 14 42 44 72 74 84 86	-206122009980
STPT(10)	2534268789383701217	0 2 12 14 42 44 72 74 84 86	209889577440
SPT(16)	2534268812203283497	0 34 40 90 124 144 166 172 294 300 322 342 376 426 432 466	232709159720
SPT(16)	2534268911328475001	0 20 32 36 102 150 162 218 240 296 308 356 422 426 438 458	331834351224
SPT(16)	2534269013624368789	0 60 70 88 90 178 234 268 270 304 360 448 450 468 478 538	434130245012
SPT(16)	2534269286947410139	0 4 10 52 54 64 84 124 168 208 228 238 240 282 288 292	707453286362