Prime p₀= 2807585886920131693 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 6 42 90 2 12 24 16 24 12 2 90 42 6 28 (?)
a_n: 0 28 34 76 166 168 180 204 220 244 256 258 348 390 396 424
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: 424
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 28 6 42 90 2 12 24 16

SPT(16)	2807584944601023203	0 24 128 138 200 224 266 288 326 348 390 414 476 486 590 614	-942319108490
SPT(16)	2807584970693023753	0 4 36 40 66 130 138 166 168 196 204 268 294 298 330 334	-916227107940
SPT(16)	2807585013273860279	0 18 38 48 78 152 180 194 258 272 300 374 404 414 434 452	-873646271414
SPT(16)	2807585296780473883	0 48 70 90 114 154 168 198 280 310 324 364 388 408 430 478	-590139657810
STPT(10)	2807585467558823837	0 2 54 56 72 74 90 92 144 146	-419361307856
SPT(16)	2807585719837207597	0 36 112 124 142 162 186 210 226 250 274 294 312 324 400 436	-167082924096
STPT(10)	2807586218291764079	0 2 42 44 60 62 78 80 120 122	331371632386
SPT(16)	2807586457733678603	0 36 38 50 104 156 164 168 176 180 188 240 294 306 308 344	570813546910
STPT(10)	2807586670451522147	0 2 24 26 42 44 60 62 84 86	783531390454
STPT(10)	2807586694031902967	0 2 30 32 60 62 90 92 120 122	807111771274
SPT(16)	2807587354294724717	0 74 80 86 102 140 156 200 216 260 276 314 330 336 342 416	1467374593024