Prime p₀= 2327414996677303283 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 84 60 42 24 20 36 48 22 48 36 20 24 42 60 84 (?)
a_n: 0 84 144 186 210 230 266 314 336 384 420 440 464 506 566 650
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: 650
Found by: Orange Kid
db: batch=81, k=16, 84 60 42 24 20 36 48 22

SPT(16)	2327413688812683599	0 20 32 42 60 72 104 128 174 198 230 242 260 270 282 302	-1307864619684
STPT(10)	2327413878508409321	0 2 36 38 78 80 120 122 156 158	-1118168893962
SPT(16)	2327414120470500521	0 26 50 56 66 96 140 180 272 312 356 386 396 402 426 452	-876206802762
TPT(14)	2327414513117425007	0 2 84 86 90 92 180 182 222 224 234 236 264 266	-483559878276
SPT(18)	2327414944903759553	0 56 98 108 120 126 140 156 170 204 218 234 248 254 266 276 318 374	-51773543730
SPT(18)	2327414956499680739	0 72 138 200 222 224 258 278 294 368 384 404 438 440 462 524 590 662	-40177622544
SPT(16)	2327415233625233819	0 30 44 68 114 134 152 162 260 270 288 308 354 378 392 422	236947930536
STPT(10)	2327415410192167121	0 2 30 32 78 80 126 128 156 158	413514863838
STPT(10)	2327415469122430031	0 2 36 38 78 80 120 122 156 158	472445126748
SPT(16)	2327415499113923209	0 34 82 88 90 154 162 190 192 220 228 292 294 300 348 382	502436619926
STPT(10)	2327415549649546397	0 2 30 32 42 44 54 56 84 86	552972243114