Prime p₀= 2310335389850963789 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 12 10 12 56 30 34 26 34 30 56 12 10 12 20 (?)
a_n: 0 20 32 42 54 110 140 174 200 234 264 320 332 342 354 374
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 374
Found by: FritzB
db: batch=81, k=16, 20 12 10 12 56 30 34 26

SPT(16)	2310334738689220447	0 36 42 54 64 70 102 112 114 124 156 162 172 184 190 226	-651161743342
SPT(16)	2310334913286499049	0 32 54 60 114 122 152 164 300 312 342 350 404 410 432 464	-476564464740
SPT(16)	2310335012333428219	0 24 42 60 84 88 154 168 244 258 324 328 352 370 388 412	-377517535570
SPT(16)	2310335069962509803	0 6 26 48 56 68 110 176 210 276 318 330 338 360 380 386	-319888453986
STPT(10)	2310335105158949129	0 2 18 20 30 32 42 44 60 62	-284692014660
STPT(10)	2310335336059754357	0 2 54 56 72 74 90 92 144 146	-53791209432
STPT(10)	2310335390445278429	0 2 48 50 60 62 72 74 120 122	594314640
SPT(16)	2310335695176302323	0 24 28 34 48 84 160 204 244 288 364 400 414 420 424 448	305325338534
STPT(10)	2310336064035608417	0 2 30 32 42 44 54 56 84 86	674184644628
SPT(16)	2310336162609572831	0 12 18 26 32 42 62 96 152 186 206 216 222 230 236 248	772758609042
STPT(10)	2310336487467166979	0 2 18 20 30 32 42 44 60 62	1097616203190