Prime p₀= 2909951311197711959 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 30 18 10 12 6 20 124 20 6 12 10 18 30 14 (?)
a_n: 0 14 44 62 72 84 90 110 234 254 260 272 282 300 330 344
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: 344
Found by: UBT - Timbo
db: batch=82, k=16, 14 30 18 10 12 6 20 124

SPT(16)	2909950253663937859	0 42 58 60 70 72 114 154 198 238 280 282 292 294 310 352	-1057533774100
STPT(10)	2909950328033121179	0 2 30 32 120 122 210 212 240 242	-983164590780
SPT(16)	2909950337970691913	0 20 56 108 126 150 156 254 270 368 374 398 416 468 504 524	-973227020046
TPT(14)	2909950848559636097	0 2 12 14 54 56 144 146 150 152 270 272 282 284	-462638075862
SPT(16)	2909951131668808349	0 20 38 42 50 78 140 188 192 240 302 330 338 342 360 380	-179528903610
SPT(16)	2909951226626050829	0 18 32 104 110 150 188 224 228 264 302 342 348 420 434 452	-84571661130
SPT(16)	2909951321706856409	0 8 20 38 50 68 90 98 132 140 162 180 192 210 222 230	10509144450
STPT(10)	2909951886622635521	0 2 6 8 18 20 30 32 36 38	575424923562
TPT(14)	2909952233341076897	0 2 42 44 54 56 72 74 114 116 120 122 162 164	922143364938
SPT(16)	2909952418147079471	0 26 36 80 132 162 210 222 260 272 320 350 402 446 456 482	1106949367512
SPT(16)	2909952782529941101	0 6 18 42 78 106 120 156 202 238 252 280 316 340 352 358	1471332229142