Prime p₀= 2309213929353277559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: MarkRBright
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2309212457234910377	0 56 80 104 140 164 174 216 230 272 282 306 342 366 390 446	-1472118367182
SPT(16)	2309213017319230817	0 42 56 90 116 126 144 152 204 212 230 240 266 300 314 356	-912034046742
SPT(16)	2309213138077452221	0 6 20 30 90 98 168 170 198 200 270 278 338 348 362 368	-791275825338
STPT(10)	2309213176013191379	0 2 42 44 120 122 198 200 240 242	-753340086180
STPT(10)	2309213440883187731	0 2 6 8 48 50 90 92 96 98	-488470089828
STPT(10)	2309213791098828371	0 2 6 8 18 20 30 32 36 38	-138254449188
STPT(10)	2309214035374849817	0 2 30 32 42 44 54 56 84 86	106021572258
SPT(16)	2309214574758334127	0 42 44 92 110 156 170 180 296 306 320 366 384 432 434 476	645405056568
STPT(10)	2309215190271736079	0 2 12 14 90 92 168 170 180 182	1260918458520
STPT(10)	2309215262467249049	0 2 12 14 90 92 168 170 180 182	1333113971490
STPT(10)	2309215291441763207	0 2 24 26 42 44 60 62 84 86	1362088485648