Prime p₀= 2858307744350169497 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: ChUcK
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2858306192224354777	0 22 70 72 100 126 142 154 192 204 220 246 274 276 324 346	-1552125814720
STPT(10)	2858306794957720187	0 2 54 56 72 74 90 92 144 146	-949392449310
SPT(16)	2858306929328594333	0 44 66 78 170 176 204 230 354 380 408 414 506 518 540 584	-815021575164
STPT(10)	2858307079257227831	0 2 36 38 78 80 120 122 156 158	-665092941666
SPT(16)	2858307082013386331	0 12 20 30 72 98 122 168 212 258 282 308 350 360 368 380	-662336783166
SPT(16)	2858307414720224531	0 60 78 86 140 152 158 168 380 390 396 408 462 470 488 548	-329629944966
SPT(16)	2858308042521847133	0 14 26 36 60 66 108 116 228 236 278 284 308 318 330 344	298171677636
SPT(16)	2858308070727927439	0 30 34 40 52 124 202 250 252 300 378 450 462 468 472 502	326377757942
SPT(16)	2858308420676368097	0 6 36 72 74 116 126 132 224 230 240 282 284 320 350 356	676326198600
SPT(16)	2858308516079317823	0 8 30 60 74 84 114 144 194 224 254 264 278 308 330 338	771729148326
TPT(14)	2858308548380680817	0 2 30 32 90 92 132 134 240 242 354 356 450 452	804030511320