Prime p₀= 1337187783040036727 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 48 36 58 62 18 88 2 88 18 62 58 36 48 2 (?)
a_n: 0 2 50 86 144 206 224 312 314 402 420 482 540 576 624 626
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: 626
Found by: Petrctale
db: batch=77, k=16, 2 48 36 58 62 18 88 2

SPT(16)	1337186113243038221	0 48 62 66 78 80 120 146 192 218 258 260 272 276 290 338	-1669796998506
SPT(16)	1337186235285786191	0 26 38 66 120 126 138 158 210 230 242 248 302 330 342 368	-1547754250536
SPT(16)	1337186256642264361	0 22 36 72 100 102 156 232 246 322 376 378 406 442 456 478	-1526397772366
STPT(10)	1337186788379545949	0 2 18 20 30 32 42 44 60 62	-994660490778
SPT(16)	1337186945170455721	0 28 40 60 102 150 220 222 226 228 298 346 388 408 420 448	-837869581006
SPT(16)	1337187054493372087	0 22 52 102 106 186 192 232 234 274 280 360 364 414 444 466	-728546664640
STPT(10)	1337187867962490359	0 2 12 14 30 32 48 50 60 62	84922453632
STPT(10)	1337188033309419677	0 2 12 14 42 44 72 74 84 86	250269382950
SPT(16)	1337188198088210053	0 4 10 18 36 40 70 78 136 144 174 178 196 204 210 214	415048173326
SPT(16)	1337188284817424521	0 6 40 52 60 70 136 216 346 426 492 502 510 522 556 562	501777387794
SPT(16)	1337188328465014537	0 4 24 64 66 94 96 106 144 154 156 184 186 226 246 250	545424977810