Prime p₀= 2309727553166372747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: FritzB
db: batch=81, k=10, 2 70 2 28 2

SPT(13)	2309725958070979843	0 30 54 114 120 126 180 234 240 246 306 330 360	-1595095392904
SPT(16)	2309726054539754471	0 20 26 90 126 132 150 180 188 218 236 242 278 342 348 368	-1498626618276
STPT(10)	2309726615580968201	0 2 36 38 78 80 120 122 156 158	-937585404546
STPT(10)	2309726708665668959	0 2 18 20 60 62 102 104 120 122	-844500703788
STPT(10)	2309726878889767061	0 2 6 8 48 50 90 92 96 98	-674276605686
SPT(16)	2309727303849939559	0 24 78 82 124 154 174 190 222 238 258 288 330 334 388 412	-249316433188
STPT(10)	2309727939016679351	0 2 30 32 78 80 126 128 156 158	385850306604
STPT(10)	2309728204561036937	0 2 30 32 42 44 54 56 84 86	651394664190
SPT(16)	2309728683747016981	0 40 52 60 72 138 142 190 228 276 280 346 358 366 378 418	1130580644234
SPT(16)	2309728957051169657	0 44 56 84 86 90 104 126 134 156 170 174 176 204 216 260	1403884796910
SPT(16)	2309729160649061759	0 12 54 102 138 164 188 200 222 234 258 284 320 368 410 422	1607482689012