Prime p₀= 2734872293407717829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: suriv
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2734870833418509827	0 2 30 32 42 44 54 56 84 86	-1459989208002
SPT(16)	2734870964745984101	0 36 66 140 162 200 206 218 300 312 318 356 378 452 482 518	-1328661733728
SPT(16)	2734871133100274977	0 42 76 100 112 132 156 184 312 340 364 384 396 420 454 496	-1160307442852
SPT(16)	2734871365601060843	0 14 24 66 176 216 260 330 344 414 458 498 608 650 660 674	-927806656986
STPT(10)	2734871806960408901	0 2 36 38 78 80 120 122 156 158	-486447308928
SPT(16)	2734872248139697931	0 42 182 198 210 222 240 272 276 308 326 338 350 366 506 548	-45268019898
STPT(10)	2734872789638777111	0 2 30 32 78 80 126 128 156 158	496231059282
SPT(16)	2734872931022099027	0 2 26 84 86 96 186 216 290 320 410 420 422 480 504 506	637614381198
SPT(16)	2734873133057317661	0 38 120 122 138 162 168 188 210 230 236 260 276 278 360 398	839649599832
STPT(10)	2734873574675758907	0 2 30 32 42 44 54 56 84 86	1281268041078
STPT(10)	2734873712579555087	0 2 30 32 72 74 114 116 144 146	1419171837258