Prime p₀= 2275275935321511737 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2275275499943390309	0 18 32 50 54 134 158 180 182 204 228 308 312 330 344 362	-435378121428
STPT(10)	2275275537949302839	0 2 18 20 30 32 42 44 60 62	-397372208898
SPT(16)	2275275621769618981	0 16 22 30 52 66 78 88 90 100 112 126 148 156 162 178	-313551892756
STPT(10)	2275275752985755579	0 2 42 44 90 92 138 140 180 182	-182335756158
STPT(12)	2275275914642160917	0 2 12 14 42 44 60 62 90 92 102 104	-20679350820
TPT(14)	2275275932495792717	0 2 12 14 30 32 54 56 72 74 150 152 162 164	-2825719020
TPT(14)	2275276466540259041	0 2 138 140 210 212 228 230 270 272 390 392 528 530	531218747304
STPT(10)	2275276564490703857	0 2 30 32 72 74 114 116 144 146	629169192120
SPT(16)	2275276572510482249	0 18 60 80 92 140 158 174 218 234 252 300 312 332 374 392	637188970512
SPT(16)	2275276950915261011	0 26 80 102 158 162 180 182 186 188 206 210 266 288 342 368	1015593749274
SPT(16)	2275277144779033009	0 4 58 70 90 130 160 184 198 222 252 292 312 324 378 382	1209457521272