Prime p₀= 2082580069103869859 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: Marion1
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2082578851587968999	0 2 12 14 18 20 108 110 150 152 270 272 282 284	-1217515900860
STPT(10)	2082579198560475029	0 2 48 50 60 62 72 74 120 122	-870543394830
SPT(16)	2082579444015788479	0 42 112 124 142 160 222 270 322 370 432 450 468 480 550 592	-625088081380
STPT(10)	2082579520107739139	0 2 48 50 90 92 132 134 180 182	-548996130720
STPT(10)	2082579624796366469	0 2 12 14 90 92 168 170 180 182	-444307503390
SPT(16)	2082579816239317909	0 10 12 40 54 70 78 82 180 184 192 208 222 250 252 262	-252864551950
TPT(14)	2082580153814154089	0 2 60 62 132 134 138 140 168 170 240 242 342 344	84710284230
STPT(10)	2082580484335334957	0 2 30 32 42 44 54 56 84 86	415231465098
STPT(10)	2082580679125534409	0 2 48 50 90 92 132 134 180 182	610021664550
STPT(10)	2082580934492679737	0 2 30 32 42 44 54 56 84 86	865388809878
STPT(10)	2082581135153665577	0 2 54 56 72 74 90 92 144 146	1066049795718