Prime p₀= 2531861565367892803 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 4 36 14 54 16 2 22 2 16 54 14 36 4 30 (?)
a_n: 0 30 34 70 84 138 154 156 178 180 196 250 264 300 304 334
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: 334
Found by: Penguin
db: batch=82, k=16, 30 4 36 14 54 16 2 22

SPT(16)	2531859381458044397	0 74 84 92 102 132 144 162 242 260 272 302 312 320 330 404	-2183909848406
SPT(16)	2531859678829388629	0 10 22 40 72 82 100 120 184 204 222 232 264 282 294 304	-1886538504174
SPT(16)	2531860261296142663	0 46 90 118 150 154 196 238 276 318 360 364 396 424 468 514	-1304071750140
SPT(16)	2531861176637115209	0 14 24 144 194 200 234 264 320 350 384 390 440 560 570 584	-388730777594
STPT(10)	2531861273192010449	0 2 18 20 30 32 42 44 60 62	-292175882354
STPT(10)	2531861404428762611	0 2 6 8 18 20 30 32 36 38	-160939130192
STPT(10)	2531862054333360347	0 2 30 32 42 44 54 56 84 86	488965467544
SPT(16)	2531862174507621517	0 24 46 64 102 156 162 226 240 304 310 364 402 420 442 466	609139728714
SPT(16)	2531862437109079469	0 72 104 128 150 222 224 272 300 348 350 422 444 468 500 572	871741186666
STPT(10)	2531863600904967179	0 2 42 44 90 92 138 140 180 182	2035537074376
STPT(10)	2531863703572481417	0 2 12 14 42 44 72 74 84 86	2138204588614