Prime p₀= 2850412238329777871 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: JayPi
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2850411653848439861	0 12 26 36 56 120 126 180 218 272 278 342 362 372 386 398	-584481338010
SPT(16)	2850411743178964651	0 42 46 58 60 130 168 198 430 460 498 568 570 582 586 628	-495150813220
STPT(10)	2850411890152157447	0 2 30 32 42 44 54 56 84 86	-348177620424
SPT(16)	2850411903125049803	0 24 26 36 38 50 60 78 116 134 144 156 158 168 170 194	-335204728068
SPT(16)	2850412089333169303	0 48 70 78 120 130 154 180 244 270 294 304 346 354 376 424	-148996608568
TPT(14)	2850412158639929711	0 2 60 62 78 80 156 158 216 218 240 242 300 302	-79689848160
SPT(16)	2850412239878917297	0 36 42 84 96 106 112 132 154 174 180 190 202 244 250 286	1549139426
STPT(10)	2850412466225543249	0 2 18 20 30 32 42 44 60 62	227895765378
SPT(16)	2850413015131701841	0 30 106 120 150 162 222 258 310 346 406 418 448 462 538 568	776801923970
STPT(10)	2850413065740646631	0 2 36 38 78 80 120 122 156 158	827410868760
SPT(16)	2850413185204003667	0 2 6 24 72 146 152 164 222 234 240 314 362 380 384 386	946874225796