Prime p₀= 2476564301230901267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JonS
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2476563612394311007	0 24 36 54 66 72 124 172 204 252 304 310 322 340 352 376	-688836590260
SPT(16)	2476563768491992219	0 10 24 28 102 108 120 178 204 262 274 280 354 358 372 382	-532738909048
SPT(16)	2476563791627516827	0 10 22 52 162 196 210 250 276 316 330 364 474 504 516 526	-509603384440
SPT(16)	2476564110710434351	0 10 66 70 120 126 132 136 162 166 172 178 228 232 288 298	-190520466916
SPT(16)	2476564194501294017	0 2 14 72 84 150 180 194 222 236 266 332 344 402 414 416	-106729607250
STPT(10)	2476564227507928697	0 2 60 62 72 74 84 86 144 146	-73722972570
TPT(14)	2476564383138469187	0 2 54 56 90 92 174 176 180 182 324 326 342 344	81907567920
SPT(16)	2476564676112348251	0 30 42 56 68 78 80 86 132 138 140 150 162 176 188 218	374881446984
SPT(16)	2476564704447457553	0 20 114 210 228 248 294 338 420 464 510 530 548 644 738 758	403216556286
STPT(10)	2476564709934254507	0 2 12 14 42 44 72 74 84 86	408703353240
SPT(16)	2476564828452348499	0 4 34 40 84 94 118 144 154 180 204 214 258 264 294 298	527221447232