Prime p₀= 2678584902409337101 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 18 50 16 42 12 6 56 6 12 42 16 50 18 52 (?)
a_n: 0 52 70 120 136 178 190 196 252 258 270 312 328 378 396 448
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: 448
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 52 18 50 16 42 12 6 56

SPT(16)	2678583118790274239	0 20 68 78 104 140 144 150 218 224 228 264 290 300 348 368	-1783619062862
SPT(16)	2678583187709902819	0 48 52 82 90 142 154 220 222 288 300 352 360 390 394 442	-1714699434282
SPT(16)	2678583647343018781	0 16 48 58 66 148 156 160 186 190 198 280 288 298 330 346	-1255066318320
STPT(10)	2678583856065869597	0 2 24 26 42 44 60 62 84 86	-1046343467504
SPT(16)	2678584588989737621	0 48 62 98 138 156 182 198 200 216 242 260 300 336 350 398	-313419599480
SPT(16)	2678584675111437137	0 12 26 30 56 62 84 104 132 152 174 180 206 210 224 236	-227297899964
SPT(16)	2678584924020155903	0 18 44 56 68 86 104 126 158 180 198 216 228 240 266 284	21610818802
STPT(10)	2678585368622370281	0 2 6 8 48 50 90 92 96 98	466213033180
SPT(16)	2678585587793001049	0 22 30 48 78 100 118 148 204 234 252 274 304 322 330 352	685383663948
SPT(16)	2678585628003689347	0 30 52 94 142 172 214 220 234 240 282 312 360 402 424 454	725594352246
SPT(16)	2678585787806267741	0 12 30 50 78 122 182 218 240 276 336 380 408 428 446 458	885396930640