Prime p₀= 2592626939056356857 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 12 22 6 68 4 6 26 6 4 68 6 22 12 2 (?)
a_n: 0 2 14 36 42 110 114 120 146 152 156 224 230 252 264 266
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: 266
Found by: JayPi
db: batch=82, k=16, 2 12 22 6 68 4 6 26

SPT(16)	2592625270800766283	0 8 36 78 84 120 146 158 246 258 284 320 326 368 396 404	-1668255590574
SPT(16)	2592625332784024207	0 10 96 124 126 186 274 304 306 336 424 484 486 514 600 610	-1606272332650
SPT(16)	2592625706765923729	0 18 54 124 162 174 208 228 274 294 328 340 378 448 484 502	-1232290433128
TPT(14)	2592625910969562227	0 2 84 86 90 92 132 134 180 182 222 224 270 272	-1028086794630
SPT(16)	2592626241091158227	0 26 36 90 96 120 216 222 224 230 326 350 356 410 420 446	-697965198630
SPT(16)	2592626760163938569	0 12 54 80 102 120 122 128 234 240 242 260 282 308 350 362	-178892418288
SPT(16)	2592627284055946777	0 6 12 72 76 90 112 150 226 264 286 300 304 364 370 376	344999589920
TPT(14)	2592627748607503181	0 2 66 68 108 110 120 122 126 128 210 212 288 290	809551146324
SPT(16)	2592628014307058669	0 44 62 78 90 104 132 134 258 260 288 302 314 330 348 392	1075250701812
STPT(10)	2592628014816756737	0 2 60 62 72 74 84 86 144 146	1075760399880
SPT(16)	2592628562649856811	0 2 20 66 68 86 92 98 120 126 132 150 152 198 216 218	1623593499954