Prime p₀= 3002625625568312057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3002623614104772643	0 34 46 90 156 160 168 196 198 226 234 238 304 348 360 394	-2011463539414
STPT(10)	3002623973862440957	0 2 12 14 42 44 72 74 84 86	-1651705871100
SPT(16)	3002624235446976347	0 120 152 174 186 224 236 254 312 330 342 380 392 414 446 566	-1390121335710
SPT(16)	3002624353498180343	0 78 80 144 168 218 228 234 284 290 300 350 374 438 440 518	-1272070131714
SPT(16)	3002624912744974271	0 20 62 72 98 102 126 152 216 242 266 270 296 306 348 368	-712823337786
STPT(10)	3002625151803605561	0 2 30 32 78 80 126 128 156 158	-473764706496
STPT(10)	3002625812474710319	0 2 18 20 30 32 42 44 60 62	186906398262
STPT(10)	3002627141016477641	0 2 6 8 18 20 30 32 36 38	1515448165584
STPT(10)	3002627405928463811	0 2 36 38 78 80 120 122 156 158	1780360151754
SPT(16)	3002627803063170631	0 10 18 52 60 76 90 96 172 178 192 208 216 250 258 268	2177494858574
STPT(10)	3002628342490738277	0 2 30 32 42 44 54 56 84 86	2716922426220