Prime p₀= 2356802672000617637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2356800899899395749	0 2 48 50 60 62 72 74 120 122	-1772101221888
STPT(10)	2356801062276509657	0 2 12 14 72 74 132 134 144 146	-1609724107980
SPT(16)	2356801200983797097	0 12 26 32 36 50 74 80 96 102 126 140 144 150 164 176	-1471016820540
SPT(16)	2356801447198380997	0 34 36 64 70 72 90 100 126 136 154 156 162 190 192 226	-1224802236640
STPT(10)	2356801789266089117	0 2 30 32 42 44 54 56 84 86	-882734528520
STPT(10)	2356802179546016897	0 2 90 92 102 104 114 116 204 206	-492454600740
SPT(16)	2356802950261221443	0 24 50 56 90 104 108 120 134 146 150 164 198 204 230 254	278260603806
TPT(14)	2356803280138237757	0 2 30 32 162 164 324 326 360 362 390 392 402 404	608137620120
STPT(10)	2356803341573700959	0 2 18 20 30 32 42 44 60 62	669573083322
STPT(10)	2356803423861532571	0 2 48 50 168 170 288 290 336 338	751860914934
STPT(10)	2356803489159835487	0 2 30 32 72 74 114 116 144 146	817159217850