Prime p₀= 806857687827012707 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: arkiss
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	806857011210248101	0 6 36 76 88 90 108 126 130 148 166 168 180 220 250 256	-676616764606
SPT(16)	806857115077680001	0 10 12 40 82 90 112 132 136 156 178 186 228 256 258 268	-572749332706
SPT(16)	806857205303676589	0 10 18 24 34 40 52 118 144 210 222 228 238 244 252 262	-482523336118
STPT(10)	806857210661603999	0 2 18 20 30 32 42 44 60 62	-477165408708
STPT(10)	806857483738163951	0 2 30 32 60 62 90 92 120 122	-204088848756
STPT(10)	806857491086342819	0 2 12 14 30 32 48 50 60 62	-196740669888
STPT(10)	806858466805627571	0 2 30 32 240 242 450 452 480 482	778978614864
SPT(16)	806858536124111699	0 98 114 144 174 180 224 230 252 258 302 308 338 368 384 482	848297098992
SPT(16)	806858671544051299	0 82 112 144 192 210 252 294 298 340 382 400 448 480 510 592	983717038592
SPT(16)	806858674718428859	0 8 14 30 38 42 44 102 140 198 200 204 212 228 234 242	986891416152
TPT(16)	806859173763652517	0 2 54 56 102 104 294 296 432 434 474 476 534 536 552 554	1485936639810