Prime p₀= 2355536074857702167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Xenon
db: batch=81, k=10, 2 52 2 16 2

SPT(16)	2355535506391554337	0 22 30 42 54 100 112 120 166 174 186 232 244 256 264 286	-568466147830
SPT(16)	2355535552711968751	0 10 46 88 106 120 132 172 336 376 388 402 420 462 498 508	-522145733416
STPT(10)	2355535604497773947	0 2 12 14 72 74 132 134 144 146	-470359928220
STPT(10)	2355535744089710009	0 2 42 44 60 62 78 80 120 122	-330767992158
STPT(10)	2355535760257598507	0 2 30 32 42 44 54 56 84 86	-314600103660
SPT(16)	2355535863449953141	0 48 52 72 90 102 112 118 150 156 166 178 196 216 220 268	-211407749026
STPT(10)	2355536172143516027	0 2 30 32 42 44 54 56 84 86	97285813860
SPT(16)	2355536407573461127	0 4 22 42 60 100 120 126 130 136 156 196 214 234 252 256	332715758960
STPT(10)	2355536555535025307	0 2 30 32 42 44 54 56 84 86	480677323140
SPT(16)	2355536768972841019	0 42 48 88 150 168 172 210 220 258 262 280 342 382 388 430	694115138852
STPT(12)	2355536939604623849	0 2 42 44 90 92 180 182 228 230 270 272	864746921682