Prime p₀= 2570407615539340007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2570406719524348709	0 8 14 20 42 44 72 78 104 110 138 140 162 168 174 182	-896014991298
SPT(16)	2570406756688681843	0 58 88 114 118 168 174 184 204 214 220 270 274 300 330 388	-858850658164
STPT(10)	2570406790970194871	0 2 30 32 60 62 90 92 120 122	-824569145136
SPT(16)	2570406810460803619	0 78 90 120 162 172 238 250 330 342 408 418 460 490 502 580	-805078536388
STPT(10)	2570406815126976767	0 2 30 32 42 44 54 56 84 86	-800412363240
STPT(10)	2570407071603418037	0 2 42 44 72 74 102 104 144 146	-543935921970
SPT(16)	2570407699855809997	0 24 40 54 94 130 144 154 162 172 186 222 262 276 292 316	84316469990
STPT(10)	2570407912571171999	0 2 18 20 30 32 42 44 60 62	297031831992
SPT(16)	2570408033640414083	0 6 36 54 98 110 114 156 158 200 204 216 260 278 308 314	418101074076
SPT(16)	2570408113385901779	0 78 102 138 170 174 188 222 260 294 308 312 344 380 404 482	497846561772
SPT(16)	2570408147943877259	0 42 68 72 74 134 144 212 270 338 348 408 410 414 440 482	532404537252