Prime p₀= 2540348566386646187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

STPT(10)	2540346545640306857	0 2 24 26 42 44 60 62 84 86	-2020746339330
SPT(16)	2540346722317515931	0 18 40 72 78 88 96 102 166 172 180 190 196 228 250 268	-1844069130256
SPT(16)	2540347396833213101	0 12 26 50 66 78 92 138 140 186 200 212 228 252 266 278	-1169553433086
SPT(16)	2540347399956707827	0 40 84 90 96 106 114 124 192 202 210 220 226 232 276 316	-1166429938360
SPT(18)	2540347596069729491	0 2 30 62 66 68 90 126 138 140 152 188 210 212 216 248 276 278	-970316916696
SPT(16)	2540348535259219637	0 2 30 54 60 86 110 140 156 186 210 236 242 266 294 296	-31127426550
SPT(16)	2540349295959760939	0 30 40 112 142 162 180 192 238 250 268 288 318 390 400 430	729573114752
STPT(10)	2540349563555687069	0 2 18 20 30 32 42 44 60 62	997169040882
SPT(16)	2540349751974034733	0 14 78 90 108 126 186 228 266 308 368 386 404 416 480 494	1185587388546
SPT(16)	2540349809589989893	0 6 30 34 48 100 118 166 168 216 234 286 300 304 328 334	1243203343706
SPT(16)	2540349931210436903	0 18 20 48 54 60 78 96 188 206 224 230 236 264 266 284	1364823790716