Prime p₀= 2310335336059754357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: FritzB
db: batch=81, k=10, 2 52 2 16 2

SPT(16)	2310334737260119399	0 18 64 70 88 240 252 264 298 310 322 474 492 498 544 562	-598799634958
SPT(16)	2310334738689220447	0 36 42 54 64 70 102 112 114 124 156 162 172 184 190 226	-597370533910
SPT(16)	2310334913286499049	0 32 54 60 114 122 152 164 300 312 342 350 404 410 432 464	-422773255308
SPT(16)	2310335012333428219	0 24 42 60 84 88 154 168 244 258 324 328 352 370 388 412	-323726326138
SPT(16)	2310335069962509803	0 6 26 48 56 68 110 176 210 276 318 330 338 360 380 386	-266097244554
STPT(10)	2310335105158949129	0 2 18 20 30 32 42 44 60 62	-230900805228
SPT(16)	2310335389850963789	0 20 32 42 54 110 140 174 200 234 264 320 332 342 354 374	53791209432
STPT(10)	2310335390445278429	0 2 48 50 60 62 72 74 120 122	54385524072
SPT(16)	2310335695176302323	0 24 28 34 48 84 160 204 244 288 364 400 414 420 424 448	359116547966
STPT(10)	2310336064035608417	0 2 30 32 42 44 54 56 84 86	727975854060
SPT(16)	2310336162609572831	0 12 18 26 32 42 62 96 152 186 206 216 222 230 236 248	826549818474