Prime p₀= 2566822386970254617 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)	2566821420532937879	0 48 62 132 138 150 182 230 282 330 362 374 380 450 464 512	-966437316738
STPT(10)	2566821811114834919	0 2 48 50 60 62 72 74 120 122	-575855419698
SPT(16)	2566821914648186081	0 12 50 56 102 182 258 278 300 320 396 476 522 528 566 578	-472322068536
SPT(16)	2566821963964653277	0 10 72 94 100 124 130 154 210 234 240 264 270 292 354 364	-423005601340
SPT(13)	2566822227162763813	0 18 48 60 90 144 174 204 258 288 300 330 348	-159807490804
SPT(16)	2566822356516556979	0 8 12 24 38 42 54 74 78 98 110 114 128 140 144 152	-30453697638
SPT(16)	2566822418201772587	0 50 86 96 114 126 134 156 314 336 344 356 374 384 420 470	31231517970
STPT(10)	2566822579025171651	0 2 30 32 60 62 90 92 120 122	192054917034
STPT(10)	2566822917317480579	0 2 18 20 30 32 42 44 60 62	530347225962
TPT(14)	2566822936245452537	0 2 30 32 42 44 144 146 174 176 204 206 240 242	549275197920
STPT(10)	2566823100556073927	0 2 12 14 42 44 72 74 84 86	713585819310