Prime p₀= 2313314279975234633 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 8 48 6 24 6 28 98 28 6 24 6 48 8 18 (?)
a_n: 0 18 26 74 80 104 110 138 236 264 270 294 300 348 356 374
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: WTBroughton
db: batch=81, k=16, 18 8 48 6 24 6 28 98

SPT(16)	2313312864061357471	0 42 46 52 126 150 196 250 342 396 442 466 540 546 550 592	-1415913877162
STPT(10)	2313312905754732521	0 2 78 80 168 170 258 260 336 338	-1374220502112
STPT(10)	2313313117325600237	0 2 12 14 42 44 72 74 84 86	-1162649634396
STPT(10)	2313313441682169107	0 2 24 26 42 44 60 62 84 86	-838293065526
STPT(10)	2313313561730563289	0 2 18 20 30 32 42 44 60 62	-718244671344
STPT(12)	2313313845177948827	0 2 60 62 102 104 222 224 264 266 324 326	-434797285806
TPT(14)	2313314413376143589	0 2 18 20 102 104 150 152 192 194 228 230 240 242	133400908956
STPT(12)	2313314472463291991	0 2 66 68 78 80 168 170 180 182 246 248	192488057358
STPT(10)	2313314487812047787	0 2 12 14 42 44 72 74 84 86	207836813154
STPT(10)	2313314670844445297	0 2 30 32 42 44 54 56 84 86	390869210664
SPT(16)	2313314721078932009	0 20 108 140 234 242 252 270 272 290 300 308 402 434 522 542	441103697376