Prime p₀= 2379126488623041767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2379125412100784251	0 16 88 100 178 190 210 256 300 346 366 378 456 468 540 556	-1076522257516
SPT(16)	2379125490601092691	0 16 66 76 78 178 250 262 306 318 390 490 492 502 552 568	-998021949076
SPT(16)	2379125525915136407	0 12 26 62 110 126 132 164 192 224 230 246 294 330 344 356	-962707905360
SPT(16)	2379125736291699961	0 16 40 42 126 132 210 216 262 268 346 352 436 438 462 478	-752331341806
SPT(16)	2379125940831512413	0 6 30 34 36 66 100 118 396 414 448 478 480 484 508 514	-547791529354
SPT(16)	2379126324277607417	0 36 42 80 86 122 140 200 216 276 294 330 336 374 380 416	-164345434350
STPT(10)	2379126655677613739	0 2 42 44 60 62 78 80 120 122	167054571972
TPT(14)	2379126687359651441	0 2 18 20 36 38 60 62 186 188 198 200 258 260	198736609674
STPT(10)	2379127125147667577	0 2 12 14 72 74 132 134 144 146	636524625810
SPT(16)	2379127732635981703	0 10 36 48 90 120 138 204 250 316 334 364 406 418 444 454	1244012939936
STPT(10)	2379128616767401391	0 2 6 8 48 50 90 92 96 98	2128144359624