Prime p₀= 2807584970693023753 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 32 4 26 64 8 28 2 28 8 64 26 4 32 4 (?)
a_n: 0 4 36 40 66 130 138 166 168 196 204 268 294 298 330 334
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: 334
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 4 32 4 26 64 8 28 2

SPT(16)	2807583902167511981	0 2 8 26 42 50 152 182 246 276 378 386 402 420 426 428	-1068525511772
SPT(16)	2807583916231396307	0 20 32 120 140 150 176 186 416 426 452 462 482 570 582 602	-1054461627446
STPT(10)	2807584112154846779	0 2 18 20 30 32 42 44 60 62	-858538176974
SPT(16)	2807584328168714167	0 16 30 36 82 112 150 154 162 166 204 234 280 286 300 316	-642524309586
SPT(16)	2807584637829071671	0 30 36 90 96 156 160 162 250 252 256 316 322 376 382 412	-332863952082
SPT(16)	2807584944601023203	0 24 128 138 200 224 266 288 326 348 390 414 476 486 590 614	-26092000550
SPT(16)	2807585013273860279	0 18 38 48 78 152 180 194 258 272 300 374 404 414 434 452	42580836526
SPT(16)	2807585296780473883	0 48 70 90 114 154 168 198 280 310 324 364 388 408 430 478	326087450130
STPT(10)	2807585467558823837	0 2 54 56 72 74 90 92 144 146	496865800084
SPT(16)	2807585719837207597	0 36 112 124 142 162 186 210 226 250 274 294 312 324 400 436	749144183844
SPT(16)	2807585886920131693	0 28 34 76 166 168 180 204 220 244 256 258 348 390 396 424	916227107940