Prime p₀= 2807585719837207597 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 76 12 18 20 24 24 16 24 24 20 18 12 76 36 (?)
a_n: 0 36 112 124 142 162 186 210 226 250 274 294 312 324 400 436
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: 436
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 36 76 12 18 20 24 24 16

SPT(16)	2807584637829071671	0 30 36 90 96 156 160 162 250 252 256 316 322 376 382 412	-1082008135926
SPT(16)	2807584944601023203	0 24 128 138 200 224 266 288 326 348 390 414 476 486 590 614	-775236184394
SPT(16)	2807584970693023753	0 4 36 40 66 130 138 166 168 196 204 268 294 298 330 334	-749144183844
SPT(16)	2807585013273860279	0 18 38 48 78 152 180 194 258 272 300 374 404 414 434 452	-706563347318
SPT(16)	2807585296780473883	0 48 70 90 114 154 168 198 280 310 324 364 388 408 430 478	-423056733714
STPT(10)	2807585467558823837	0 2 54 56 72 74 90 92 144 146	-252278383760
SPT(16)	2807585886920131693	0 28 34 76 166 168 180 204 220 244 256 258 348 390 396 424	167082924096
STPT(10)	2807586218291764079	0 2 42 44 60 62 78 80 120 122	498454556482
SPT(16)	2807586457733678603	0 36 38 50 104 156 164 168 176 180 188 240 294 306 308 344	737896471006
STPT(10)	2807586670451522147	0 2 24 26 42 44 60 62 84 86	950614314550
STPT(10)	2807586694031902967	0 2 30 32 60 62 90 92 120 122	974194695370