Prime p₀= 2689439748385378517 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: suriv
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2689438579507241711	0 18 30 78 120 162 168 182 276 290 296 338 380 428 440 458	-1168878136806
STPT(10)	2689438669385610269	0 2 72 74 180 182 288 290 360 362	-1078999768248
SPT(16)	2689438710486025987	0 16 40 54 112 126 150 172 234 256 280 294 352 366 390 406	-1037899352530
SPT(16)	2689438887091450853	0 8 24 36 80 108 176 186 188 198 266 294 338 350 366 374	-861293927664
STPT(10)	2689439274892731209	0 2 30 32 60 62 90 92 120 122	-473492647308
SPT(16)	2689439413954079701	0 22 40 78 126 160 168 178 330 340 348 382 430 468 486 508	-334431298816
SPT(16)	2689440144819978421	0 18 36 48 70 78 126 160 198 232 280 288 310 322 340 358	396434599904
STPT(10)	2689440335135503877	0 2 30 32 72 74 114 116 144 146	586750125360
SPT(16)	2689440596521700299	0 10 24 28 48 54 90 244 264 418 454 460 480 484 498 508	848136321782
SPT(16)	2689440672596190719	0 12 38 42 50 78 104 120 182 198 224 252 260 264 290 302	924210812202
SPT(16)	2689440719826562607	0 6 14 44 54 86 104 176 300 372 390 422 432 462 470 476	971441184090