Prime p₀= 2113139795473846723 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 18 78 34 14 6 36 52 36 6 14 34 78 18 30 (?)
a_n: 0 30 48 126 160 174 180 216 268 304 310 324 358 436 454 484
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: 484
Found by: [SG-2W]Kurzer
db: batch=80, k=16, 30 18 78 34 14 6 36 52

SPT(16)	2113139106777042263	0 8 44 56 110 128 134 170 174 210 216 234 288 300 336 344	-688696804460
SPT(16)	2113139111568997639	0 24 54 88 112 142 144 154 168 178 180 210 234 268 298 322	-683904849084
SPT(16)	2113139126408485907	0 12 54 56 72 102 120 140 156 176 194 224 240 242 284 296	-669065360816
STPT(10)	2113139184546911837	0 2 84 86 162 164 240 242 324 326	-610926934886
TPT(14)	2113139434655368829	0 2 78 80 138 140 162 164 288 290 360 362 378 380	-360818477894
TPT(14)	2113139700886016807	0 2 30 32 54 56 132 134 210 212 270 272 294 296	-94587829916
SPT(16)	2113139833290538529	0 14 44 50 74 152 164 170 234 240 252 330 354 360 390 404	37816691806
STPT(10)	2113140544395047267	0 2 90 92 102 104 114 116 204 206	748921200544
SPT(16)	2113140706064889337	0 4 40 42 72 90 106 130 156 180 196 214 244 246 282 286	910591042614
SPT(16)	2113140832745173307	0 44 62 74 84 90 96 126 170 200 206 212 222 234 252 296	1037271326584
SPT(16)	2113140874784940661	0 30 52 72 82 118 136 138 220 222 240 276 286 306 328 358	1079311093938