Prime p₀= 1069328874317497271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 28 2 46 2

STPT(10)	1069327991188707797	0 2 30 32 42 44 54 56 84 86	-883128789474
SPT(16)	1069328194719114157	0 22 36 72 76 136 144 172 174 202 210 270 274 310 324 346	-679598383114
SPT(16)	1069328216616399953	0 54 68 80 90 96 146 170 234 258 308 314 324 336 350 404	-657701097318
STPT(10)	1069328301740178047	0 2 12 14 42 44 72 74 84 86	-572577319224
SPT(16)	1069328372734532269	0 22 28 30 60 64 78 84 88 94 108 112 142 144 150 172	-501582965002
SPT(16)	1069328444583368407	0 6 42 60 102 204 216 246 270 300 312 414 456 474 510 516	-429734128864
SPT(16)	1069328908890650413	0 36 40 46 88 96 180 208 276 304 388 396 438 444 448 484	34573153142
STPT(10)	1069329085255502129	0 2 42 44 60 62 78 80 120 122	210938004858
STPT(10)	1069329321915362411	0 2 36 38 78 80 120 122 156 158	447597865140
STPT(10)	1069329646557116597	0 2 30 32 102 104 174 176 204 206	772239619326
STPT(10)	1069329660971953361	0 2 30 32 78 80 126 128 156 158	786654456090