Prime p₀= 2756672003572308253 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 8 66 4 24 56 4 8 4 56 24 4 66 8 46 (?)
a_n: 0 46 54 120 124 148 204 208 216 220 276 300 304 370 378 424
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: 424
Found by: JayPi
db: batch=82, k=16, 46 8 66 4 24 56 4 8

SPT(16)	2756670247738959337	0 10 16 22 24 42 70 100 156 186 214 232 234 240 246 256	-1755833348916
STPT(10)	2756670478396478471	0 2 36 38 78 80 120 122 156 158	-1525175829782
SPT(16)	2756670977552345629	0 12 18 42 72 90 130 172 210 252 292 310 340 364 370 382	-1026019962624
SPT(16)	2756671044410768819	0 14 20 24 38 48 50 104 168 222 224 234 248 252 258 272	-959161539434
TPT(14)	2756671199850303299	0 2 18 20 132 134 258 260 282 284 348 350 378 380	-803722004954
SPT(16)	2756671316827280261	0 8 48 90 120 132 156 252 266 362 386 398 428 470 510 518	-686745027992
STPT(10)	2756672282857081481	0 2 6 8 48 50 90 92 96 98	279284773228
SPT(16)	2756673397976205319	0 10 30 72 78 154 162 208 234 280 288 364 370 412 432 442	1394403897066
SPT(16)	2756673529409903591	0 12 42 48 50 92 102 152 168 218 228 270 272 278 308 320	1525837595338
SPT(16)	2756673658264818349	0 4 10 22 28 54 78 100 192 214 238 264 270 282 288 292	1654692510096
SPT(16)	2756673733551542927	0 12 20 36 62 80 132 146 156 170 222 240 266 282 290 302	1729979234674