Prime p₀= 2862504156669681413 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 16 14 70 26 4 30 38 30 4 26 70 14 16 8 (?)
a_n: 0 8 24 38 108 134 138 168 206 236 240 266 336 350 366 374
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: 374
Found by: JayPi
db: batch=82, k=16, 8 16 14 70 26 4 30 38

SPT(16)	2862502548454438573	0 24 34 60 126 160 166 186 238 258 264 298 364 390 400 424	-1608215242840
SPT(16)	2862502564461739931	0 6 86 92 102 110 128 132 266 270 288 296 306 312 392 398	-1592207941482
SPT(16)	2862502959211711901	0 56 66 78 108 120 156 186 260 290 326 338 368 380 390 446	-1197457969512
STPT(10)	2862503119910285879	0 2 18 20 30 32 42 44 60 62	-1036759395534
STPT(10)	2862503742284144549	0 2 42 44 90 92 138 140 180 182	-414385536864
SPT(16)	2862504068548022273	0 14 36 60 90 116 140 168 176 204 228 254 284 308 330 344	-88121659140
TPT(14)	2862504224698194287	0 2 12 14 30 32 54 56 162 164 204 206 210 212	68028512874
SPT(16)	2862504385935327857	0 66 84 86 96 114 146 216 254 324 356 374 384 386 404 470	229265646444
STPT(10)	2862504478682522591	0 2 30 32 78 80 126 128 156 158	322012841178
SPT(16)	2862504479539103687	0 2 32 44 54 72 96 110 126 140 164 182 192 204 234 236	322869422274
SPT(16)	2862504559391171239	0 28 42 48 100 174 180 184 198 202 208 282 334 340 354 382	402721489826