Prime p₀= 2858320055916884959 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 12 186 24 18 12 58 38 58 12 18 24 186 12 12 (?)
a_n: 0 12 24 210 234 252 264 322 360 418 430 448 472 658 670 682
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: 682
Found by: Roadranner
db: batch=82, k=16, 12 12 186 24 18 12 58 38

SPT(16)	2858319138169411571	0 20 62 68 78 98 110 146 162 198 210 230 240 246 288 308	-917747473388
TPT(14)	2858319361104376439	0 2 30 32 48 50 72 74 90 92 138 140 282 284	-694812508520
SPT(18)	2858319513858464321	0 26 30 42 56 66 68 96 150 158 212 240 242 252 266 278 282 308	-542058420638
SPT(16)	2858319549998437883	0 18 86 96 138 156 168 176 270 278 290 308 350 360 428 446	-505918447076
STPT(10)	2858319649369392737	0 2 12 14 42 44 72 74 84 86	-406547492222
SPT(16)	2858319779593385581	0 40 42 70 78 82 108 132 238 262 288 292 300 328 330 370	-276323499378
SPT(16)	2858320092189191053	0 28 30 40 48 78 100 114 124 138 160 190 198 208 210 238	36272306094
STPT(12)	2858320149550131269	0 2 48 50 78 80 90 92 120 122 168 170	93633246310
STPT(10)	2858320390349076941	0 2 120 122 138 140 156 158 276 278	334432191982
SPT(18)	2858320872763415837	0 44 92 96 116 144 150 162 164 282 284 296 302 330 350 354 402 446	816846530878
TPT(14)	2858321075279230439	0 2 30 32 180 182 228 230 240 242 270 272 300 302	1019362345480