Prime p₀= 2561698806890476003 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 48 12 14 30 90 6 88 6 90 30 14 12 48 10 (?)
a_n: 0 10 58 70 84 114 204 210 298 304 394 424 438 450 498 508
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: 508
Found by: Orange Kid
db: batch=82, k=16, 10 48 12 14 30 90 6 88

SPT(16)	2561696462294740051	0 40 52 58 102 150 186 208 210 232 268 316 360 366 378 418	-2344595735952
SPT(16)	2561697306043500439	0 12 40 94 132 150 174 222 280 328 352 370 408 462 490 502	-1500846975564
SPT(16)	2561697435411933859	0 34 88 94 120 132 154 174 208 228 250 262 288 294 348 382	-1371478542144
STPT(10)	2561697614030034131	0 2 36 38 78 80 120 122 156 158	-1192860441872
STPT(10)	2561697783673298729	0 2 18 20 30 32 42 44 60 62	-1023217177274
SPT(16)	2561698178326828237	0 42 46 72 156 186 222 246 250 274 310 340 424 450 454 496	-628563647766
STPT(10)	2561698837599831869	0 2 30 32 60 62 90 92 120 122	30709355866
STPT(10)	2561699236329521747	0 2 30 32 42 44 54 56 84 86	429439045744
SPT(16)	2561699413326693293	0 24 30 80 114 170 218 234 350 366 414 470 504 554 560 584	606436217290
SPT(16)	2561699623337628509	0 30 32 42 54 68 74 80 102 108 114 128 140 150 152 182	816447152506
SPT(16)	2561699866984899673	0 6 40 48 70 96 118 148 186 216 238 264 286 294 328 334	1060094423670