Prime p₀= 2914253565180605699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2914252491358369067	0 44 56 60 62 114 134 176 180 222 242 294 296 300 312 356	-1073822236632
SPT(16)	2914252545477949019	0 18 92 110 114 120 158 170 192 204 242 248 252 270 344 362	-1019702656680
SPT(16)	2914252651690848989	0 2 14 50 72 104 120 132 170 182 198 230 252 288 300 302	-913489756710
SPT(16)	2914252756091422183	0 100 106 138 258 268 274 330 334 390 396 406 526 558 564 664	-809089183516
STPT(10)	2914253016521028779	0 2 42 44 60 62 78 80 120 122	-548659576920
SPT(16)	2914253246263285841	0 6 12 18 50 78 98 120 158 180 200 228 260 266 272 278	-318917319858
SPT(16)	2914253826228806161	0 22 52 90 150 202 210 232 246 268 276 328 388 426 456 478	261048200462
SPT(16)	2914254101471992901	0 32 68 72 146 200 240 350 408 518 558 612 686 690 726 758	536291387202
SPT(16)	2914254963843530261	0 26 30 80 108 120 170 206 210 246 296 308 336 386 390 416	1398662924562
SPT(16)	2914255056081298571	0 12 26 32 48 50 66 68 90 92 108 110 126 132 146 158	1490900692872
SPT(18)	2914255124427540611	0 26 78 86 98 132 152 182 188 210 216 246 266 300 312 320 372 398	1559246934912