Prime p₀= 2540346545640306857 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: Paul
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2540345506296553603	0 6 46 58 76 88 96 118 126 148 156 168 186 198 238 244	-1039343753254
STPT(10)	2540345905645844501	0 2 6 8 18 20 30 32 36 38	-639994462356
TPT(14)	2540345914163426891	0 2 18 20 30 32 90 92 96 98 198 200 240 242	-631476879966
SPT(16)	2540346056326892269	0 42 54 60 70 82 88 102 130 144 150 162 172 178 190 232	-489313414588
SPT(16)	2540346162720323959	0 4 30 58 70 154 180 210 238 268 294 378 390 418 444 448	-382919982898
SPT(16)	2540346181084187011	0 96 106 132 180 222 250 258 370 378 406 448 496 522 532 628	-364556119846
SPT(16)	2540346722317515931	0 18 40 72 78 88 96 102 166 172 180 190 196 228 250 268	176677209074
SPT(16)	2540347396833213101	0 12 26 50 66 78 92 138 140 186 200 212 228 252 266 278	851192906244
SPT(16)	2540347399956707827	0 40 84 90 96 106 114 124 192 202 210 220 226 232 276 316	854316400970
SPT(18)	2540347596069729491	0 2 30 62 66 68 90 126 138 140 152 188 210 212 216 248 276 278	1050429422634
SPT(16)	2540348535259219637	0 2 30 54 60 86 110 140 156 186 210 236 242 266 294 296	1989618912780