Prime p₀= 2476565983360929527 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)	2476564704447457553	0 20 114 210 228 248 294 338 420 464 510 530 548 644 738 758	-1278913471974
STPT(10)	2476564709934254507	0 2 12 14 42 44 72 74 84 86	-1273426675020
SPT(16)	2476564828452348499	0 4 34 40 84 94 118 144 154 180 204 214 258 264 294 298	-1154908581028
SPT(16)	2476565678813832817	0 4 22 52 82 180 184 190 354 360 364 462 492 522 540 544	-304547096710
SPT(16)	2476565744055443951	0 42 56 78 122 140 162 206 282 326 348 366 410 432 446 488	-239305485576
SPT(16)	2476565815857435871	0 6 30 70 72 150 186 270 352 436 472 550 552 592 616 622	-167503493656
STPT(10)	2476566002672555279	0 2 48 50 90 92 132 134 180 182	19311625752
TPT(14)	2476566536822607947	0 2 54 56 90 92 240 242 264 266 282 284 300 302	553461678420
SPT(16)	2476566620291374243	0 48 66 76 84 90 124 136 138 150 184 190 198 208 226 274	636930444716
SPT(16)	2476567055482062997	0 4 90 100 112 130 202 216 220 234 306 324 336 346 432 436	1072121133470
STPT(10)	2476567944539498861	0 2 6 8 18 20 30 32 36 38	1961178569334