Prime p₀= 2798108658934488041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2798107077387299837	0 14 26 60 92 176 186 264 272 350 360 444 476 510 522 536	-1581547188204
STPT(10)	2798107119190897901	0 2 30 32 78 80 126 128 156 158	-1539743590140
SPT(18)	2798108076968357521	0 30 40 46 60 70 88 90 132 166 208 210 228 238 252 258 268 298	-581966130520
SPT(16)	2798108200932325277	0 6 36 66 86 120 146 150 482 486 512 546 566 596 626 632	-458002162764
SPT(16)	2798108202534897139	0 28 42 144 150 202 210 222 460 472 480 532 538 640 654 682	-456399590902
STPT(10)	2798108554037818919	0 2 42 44 60 62 78 80 120 122	-104896669122
SPT(16)	2798108761134334421	0 8 48 116 138 146 228 270 296 338 420 428 450 518 558 566	102199846380
SPT(16)	2798108832338862671	0 2 30 56 68 128 146 192 296 342 360 420 432 458 486 488	173404374630
SPT(16)	2798108946013079857	0 22 36 82 90 132 166 174 202 210 244 286 294 340 354 376	287078591816
SPT(16)	2798109337642930489	0 24 28 54 58 118 132 168 274 310 324 384 388 414 418 442	678708442448
SPT(16)	2798109484293518641	0 10 126 130 142 156 178 198 220 240 262 276 288 292 408 418	825359030600