Prime p₀= 2606594428363462681 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 84 30 42 24 32 22 8 22 32 24 42 30 84 16 (?)
a_n: 0 16 100 130 172 196 228 250 258 280 312 336 378 408 492 508
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: 508
Found by: JayPi
db: batch=82, k=16, 16 84 30 42 24 32 22 8

SPT(16)	2606593714395796109	0 14 24 90 132 134 144 174 278 308 318 320 362 428 438 452	-713967666572
STPT(10)	2606593899535848107	0 2 54 56 72 74 90 92 144 146	-528827614574
SPT(16)	2606594122238710441	0 12 18 90 126 132 148 238 270 360 376 382 418 490 496 508	-306124752240
SPT(16)	2606594244521051809	0 10 34 58 162 178 192 204 238 250 264 280 384 408 432 442	-183842410872
STPT(10)	2606594290900189661	0 2 30 32 78 80 126 128 156 158	-137463273020
SPT(16)	2606594313428728853	0 26 110 114 126 146 158 180 284 306 318 338 350 354 438 464	-114934733828
SPT(16)	2606594861591729969	0 32 44 72 80 104 132 174 200 242 270 294 302 330 342 374	433228267288
STPT(10)	2606594869706536127	0 2 12 14 42 44 72 74 84 86	441343073446
SPT(16)	2606595484090046539	0 10 34 48 54 94 100 132 160 192 198 238 244 258 282 292	1055726583858
SPT(16)	2606595599527605271	0 22 40 46 70 82 166 178 180 192 276 288 312 318 336 358	1171164142590
SPT(16)	2606595683218869443	0 14 24 26 30 80 84 96 98 110 114 164 168 170 180 194	1254855406762