Prime p₀= 2806732369285015079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2806729616866845821	0 6 32 42 50 120 140 186 242 288 308 378 386 396 422 428	-2752418169258
TPT(14)	2806729653636350501	0 2 36 38 48 50 78 80 90 92 210 212 288 290	-2715648664578
STPT(10)	2806730063260170371	0 2 30 32 78 80 126 128 156 158	-2306024844708
STPT(10)	2806730903843231921	0 2 6 8 48 50 90 92 96 98	-1465441783158
SPT(16)	2806731706685238289	0 12 28 34 52 60 90 94 168 172 202 210 228 234 250 262	-662599776790
STPT(10)	2806732321676109191	0 2 30 32 78 80 126 128 156 158	-47608905888
SPT(18)	2806732547072646677	0 14 42 66 116 150 162 174 192 224 242 254 266 300 350 374 402 416	177787631598
STPT(10)	2806733068108089917	0 2 24 26 42 44 60 62 84 86	698823074838
SPT(16)	2806733376648496277	0 50 54 86 92 156 170 210 266 306 320 384 390 422 426 476	1007363481198
STPT(10)	2806733467585442009	0 2 18 20 30 32 42 44 60 62	1098300426930
SPT(16)	2806734047234815837	0 16 42 60 94 226 256 294 322 360 390 522 556 574 600 616	1677949800758