Prime p₀= 2579437707768253217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: biodoc
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2579435536024896467	0 20 24 42 50 84 92 116 150 174 182 216 224 242 246 266	-2171743356750
SPT(16)	2579435726157607217	0 14 24 132 134 150 162 164 270 272 284 300 302 410 420 434	-1981610646000
SPT(16)	2579436083492818801	0 16 40 58 60 72 102 132 136 166 196 208 210 228 252 268	-1624275434416
STPT(10)	2579436189973077101	0 2 6 8 18 20 30 32 36 38	-1517795176116
TPT(14)	2579436696696277907	0 2 24 26 30 32 54 56 222 224 240 242 264 266	-1011071975310
SPT(16)	2579437109709501289	0 22 28 30 54 70 84 124 198 238 252 268 292 294 300 322	-598058751928
SPT(16)	2579437816440358187	0 6 20 32 56 62 72 86 210 224 234 240 264 276 290 296	108672104970
SPT(16)	2579438051158887277	0 6 42 46 76 90 112 130 132 150 172 186 216 220 256 262	343390634060
STPT(10)	2579438083290868601	0 2 6 8 48 50 90 92 96 98	375522615384
SPT(13)	2579438417253170489	0 24 30 84 90 150 162 174 234 240 294 300 324	709484917272
TPT(14)	2579438450965796279	0 2 12 14 60 62 168 170 192 194 198 200 222 224	743197543062