Prime p₀= 2722053898330502587 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 18 16 12 108 20 6 64 6 20 108 12 16 18 36 (?)
a_n: 0 36 54 70 82 190 210 216 280 286 306 414 426 442 460 496
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: 496
Found by: JayPi
db: batch=82, k=16, 36 18 16 12 108 20 6 64

SPT(16)	2722052985311826319	0 48 54 82 90 108 114 124 378 388 394 412 420 448 454 502	-913018676268
SPT(16)	2722053127706735813	0 8 20 30 50 56 60 68 78 86 90 96 116 126 138 146	-770623766774
STPT(10)	2722053275606099189	0 2 18 20 30 32 42 44 60 62	-622724403398
SPT(16)	2722053303479903359	0 4 42 52 54 82 130 162 172 204 252 280 282 292 330 334	-594850599228
SPT(16)	2722053781783525697	0 6 14 56 60 72 114 156 170 212 254 266 270 312 320 326	-116546976890
STPT(10)	2722053787663355681	0 2 6 8 48 50 90 92 96 98	-110667146906
STPT(10)	2722053925829363969	0 2 18 20 30 32 42 44 60 62	27498861382
SPT(16)	2722054240069021841	0 36 126 132 152 198 216 246 272 302 320 366 386 392 482 518	341738519254
SPT(16)	2722054561544971769	0 30 42 62 90 132 140 152 162 174 182 224 252 272 284 314	663214469182
SPT(16)	2722054697958639817	0 4 34 36 54 112 166 174 202 210 264 322 340 342 372 376	799628137230
SPT(16)	2722054765157199151	0 10 12 70 82 120 190 220 240 270 340 378 390 448 450 460	866826696564