Prime p₀= 2478478578407855753 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 4 54 2 24 4 32 142 32 4 24 2 54 4 56 (?)
a_n: 0 56 60 114 116 140 144 176 318 350 354 378 380 434 438 494
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: 494
Found by: Penguin
db: batch=82, k=16, 56 4 54 2 24 4 32 142

SPT(16)	2478477306386465627	0 42 50 60 116 122 146 150 176 180 204 210 266 276 284 326	-1272021390126
STPT(10)	2478477896669222351	0 2 36 38 78 80 120 122 156 158	-681738633402
STPT(10)	2478478005406386629	0 2 48 50 60 62 72 74 120 122	-573001469124
TPT(14)	2478478063839053459	0 2 42 44 78 80 120 122 150 152 210 212 252 254	-514568802294
SPT(16)	2478478099134233887	0 12 22 66 70 160 274 294 382 402 516 606 610 654 664 676	-479273621866
SPT(20)	2478478161933442609	0 10 24 48 94 142 150 154 168 210 232 274 288 292 300 348 394 418 432 442	-416474413144
SPT(16)	2478478747529380459	0 10 22 42 58 64 90 94 138 142 168 174 190 210 222 232	169121524706
SPT(16)	2478479142328432601	0 12 68 80 92 98 102 186 242 326 330 336 348 360 416 428	563920576848
STPT(10)	2478479516571590417	0 2 30 32 42 44 54 56 84 86	938163734664
SPT(16)	2478479592548971637	0 14 20 90 96 114 174 234 236 296 356 374 380 450 456 470	1014141115884
STPT(10)	2478479805940112927	0 2 30 32 42 44 54 56 84 86	1227532257174