Prime p₀= 2476564709934254507 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)	2476564194501294017	0 2 14 72 84 150 180 194 222 236 266 332 344 402 414 416	-515432960490
STPT(10)	2476564227507928697	0 2 60 62 72 74 84 86 144 146	-482426325810
STPT(10)	2476564301230901267	0 2 12 14 42 44 72 74 84 86	-408703353240
TPT(14)	2476564383138469187	0 2 54 56 90 92 174 176 180 182 324 326 342 344	-326795785320
SPT(16)	2476564676112348251	0 30 42 56 68 78 80 86 132 138 140 150 162 176 188 218	-33821906256
SPT(16)	2476564704447457553	0 20 114 210 228 248 294 338 420 464 510 530 548 644 738 758	-5486796954
SPT(16)	2476564828452348499	0 4 34 40 84 94 118 144 154 180 204 214 258 264 294 298	118518093992
SPT(16)	2476565678813832817	0 4 22 52 82 180 184 190 354 360 364 462 492 522 540 544	968879578310
SPT(16)	2476565744055443951	0 42 56 78 122 140 162 206 282 326 348 366 410 432 446 488	1034121189444
SPT(16)	2476565815857435871	0 6 30 70 72 150 186 270 352 436 472 550 552 592 616 622	1105923181364
STPT(10)	2476565983360929527	0 2 12 14 42 44 72 74 84 86	1273426675020