Prime p₀= 2306788258474133249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Orange Kid
db: batch=81, k=10, 2 10 2 16 2

STPT(10)	2306785637033096027	0 2 12 14 72 74 132 134 144 146	-2621441037222
SPT(16)	2306786319567586657	0 16 40 52 114 124 150 154 162 166 192 202 264 276 300 316	-1938906546592
SPT(16)	2306786418102911299	0 18 42 100 112 148 162 168 172 178 192 228 240 298 322 340	-1840371221950
STPT(10)	2306786624956901609	0 2 18 20 30 32 42 44 60 62	-1633517231640
SPT(16)	2306787104412499613	0 20 24 36 56 98 108 120 134 146 156 198 218 230 234 254	-1154061633636
SPT(16)	2306787236867150881	0 16 18 82 90 96 120 156 172 208 232 238 246 310 312 328	-1021606982368
STPT(10)	2306788404813434387	0 2 24 26 42 44 60 62 84 86	146339301138
STPT(10)	2306788847032054079	0 2 30 32 60 62 90 92 120 122	588557920830
STPT(10)	2306788864883934791	0 2 6 8 48 50 90 92 96 98	606409801542
STPT(10)	2306788870033881029	0 2 18 20 30 32 42 44 60 62	611559747780
STPT(10)	2306789227806780317	0 2 30 32 42 44 54 56 84 86	969332647068