Prime p₀= 2579422550475827657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2579421118164333809	0 2 42 44 60 62 78 80 120 122	-1432311493848
SPT(16)	2579421400757427349	0 30 70 82 100 102 142 198 214 270 310 312 330 342 382 412	-1149718400308
SPT(16)	2579421672893867761	0 12 36 42 70 82 120 130 138 148 186 198 226 232 256 268	-877581959896
SPT(16)	2579422152790898539	0 42 54 78 82 88 94 112 120 138 144 150 154 178 190 232	-397684929118
TPT(14)	2579422163429872259	0 2 30 32 48 50 90 92 198 200 420 422 438 440	-387045955398
SPT(16)	2579422497246460891	0 22 28 42 60 82 88 172 198 282 288 310 328 342 348 370	-53229366766
SPT(16)	2579422875489328993	0 4 28 46 108 124 126 150 154 178 180 196 258 276 300 304	325013501336
SPT(16)	2579423402449178657	0 42 86 152 164 254 264 302 324 362 372 462 474 540 584 626	851973351000
TPT(14)	2579424210238099907	0 2 12 14 102 104 132 134 144 146 174 176 180 182	1659762272250
SPT(16)	2579424318067351787	0 2 92 120 126 156 186 200 222 236 266 296 302 330 420 422	1767591524130
SPT(16)	2579424454458835703	0 14 26 54 56 80 110 114 140 144 174 198 200 228 240 254	1903983008046