Prime p₀= 2786346729968121557 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2786345932438838603	0 14 36 60 66 116 240 246 248 254 378 428 434 458 480 494	-797529282954
SPT(16)	2786345955324022681	0 16 46 66 102 120 156 210 298 352 388 406 442 462 492 508	-774644098876
STPT(10)	2786346000994587257	0 2 30 32 72 74 114 116 144 146	-728973534300
SPT(16)	2786346195610694659	0 54 60 64 78 138 154 174 244 264 280 340 354 358 364 418	-534357426898
SPT(16)	2786346316006909009	0 22 34 54 78 112 132 204 208 280 300 334 358 378 390 412	-413961212548
TPT(14)	2786346377188818539	0 2 18 20 168 170 210 212 240 242 252 254 270 272	-352779303018
STPT(10)	2786347003110210311	0 2 36 38 78 80 120 122 156 158	273142088754
STPT(10)	2786347028775451247	0 2 12 14 42 44 72 74 84 86	298807329690
SPT(16)	2786347569536904467	0 6 14 30 66 72 122 162 224 264 314 320 356 372 380 386	839568782910
STPT(10)	2786347657478233097	0 2 12 14 42 44 72 74 84 86	927510111540
SPT(16)	2786348517040653707	0 50 80 84 102 116 216 224 252 260 360 374 392 396 426 476	1787072532150