Prime p₀= 2908396566894660817 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 38 12 30 78 58 2 40 2 58 78 30 12 38 34 (?)
a_n: 0 34 72 84 114 192 250 252 292 294 352 430 460 472 510 544
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: 544
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 34 38 12 30 78 58 2 40

SPT(16)	2908395251461995049	0 40 42 82 100 124 138 150 172 184 198 222 240 280 282 322	-1315432665768
STPT(10)	2908395255800093957	0 2 60 62 72 74 84 86 144 146	-1311094566860
SPT(16)	2908395445159958053	0 28 60 94 100 150 178 208 270 300 328 378 384 418 450 478	-1121734702764
SPT(16)	2908395526434983527	0 4 22 70 96 160 172 174 202 204 216 280 306 354 372 376	-1040459677290
SPT(16)	2908395625393475773	0 28 30 36 58 66 100 124 150 174 208 216 238 244 246 274	-941501185044
SPT(16)	2908395700233313907	0 36 42 44 56 80 102 110 126 134 156 180 192 194 200 236	-866661346910
STPT(10)	2908396605801449447	0 2 24 26 42 44 60 62 84 86	38906788630
SPT(16)	2908396795042803391	0 12 18 46 52 82 88 166 192 270 276 306 312 340 346 358	228148142574
STPT(10)	2908396821151989161	0 2 36 38 78 80 120 122 156 158	254257328344
STPT(10)	2908396861338635057	0 2 30 32 42 44 54 56 84 86	294443974240
STPT(12)	2908396883619734957	0 2 30 32 60 62 72 74 102 104 132 134	316725074140