Prime p₀= 2585319065353351003 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 30 60 42 84 4 6 20 6 4 84 42 60 30 18 (?)
a_n: 0 18 48 108 150 234 238 244 264 270 274 358 400 460 490 508
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: SEARCHER
db: batch=82, k=16, 18 30 60 42 84 4 6 20

STPT(10)	2585318053723231949	0 2 48 50 90 92 132 134 180 182	-1011630119054
TPT(14)	2585318271086231669	0 2 42 44 48 50 102 104 198 200 240 242 288 290	-794267119334
SPT(16)	2585318319448046729	0 24 30 42 50 68 72 128 204 260 264 282 290 302 308 332	-745905304274
SPT(16)	2585318534570414023	0 24 40 58 64 76 78 108 166 196 198 210 216 234 250 274	-530782936980
SPT(16)	2585318604256875187	0 12 30 60 70 72 126 136 240 250 304 306 316 346 364 376	-461096475816
SPT(16)	2585318673646140017	0 36 62 84 110 144 210 222 224 236 302 336 362 384 410 446	-391707210986
SPT(16)	2585319148337502569	0 18 20 24 62 68 80 102 110 132 144 150 188 192 194 212	82984151566
STPT(10)	2585319220216166207	0 2 42 44 72 74 102 104 144 146	154862815204
STPT(10)	2585319298027735427	0 2 54 56 72 74 90 92 144 146	232674384424
SPT(16)	2585319536074031299	0 54 88 118 132 148 160 204 208 252 264 280 294 324 358 412	470720680296
STPT(10)	2585319555828596747	0 2 30 32 42 44 54 56 84 86	490475245744