Prime p₀= 2099335674868302251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: MarkRBright
db: batch=80, k=10, 2 64 2 70 2

STPT(10)	2099335154832970991	0 2 96 98 138 140 180 182 276 278	-520035331260
STPT(12)	2099335158893895257	0 2 12 14 102 104 150 152 240 242 252 254	-515974406994
SPT(16)	2099335176259172791	0 52 70 106 150 190 202 210 268 276 288 328 372 408 426 478	-498609129460
SPT(16)	2099335360597101619	0 72 108 130 168 172 178 198 214 234 240 244 282 304 340 412	-314271200632
STPT(10)	2099335523343368909	0 2 18 20 30 32 42 44 60 62	-151524933342
SPT(16)	2099335645654479181	0 22 42 70 82 112 126 186 196 256 270 300 312 340 360 382	-29213823070
SPT(16)	2099335869626018897	0 2 12 20 24 42 90 104 132 146 194 212 216 224 234 236	194757716646
TPT(14)	2099336402846265299	0 2 12 14 78 80 90 92 132 134 138 140 162 164	727977963048
SPT(16)	2099336536458908687	0 20 24 42 44 62 72 146 150 224 234 252 254 272 276 296	861590606436
STPT(10)	2099336714359024079	0 2 18 20 30 32 42 44 60 62	1039490721828
SPT(18)	2099336725664180647	0 16 30 40 60 64 66 94 106 144 156 184 186 190 210 220 234 250	1050795878396