Prime p₀= 1270346937362162417 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 22 24 20 6 54 54 16 54 54 6 20 24 22 20 (?)
a_n: 0 20 42 66 86 92 146 200 216 270 324 330 350 374 396 416
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: 416
Found by: Megacruncher
db: batch=77, k=16, 20 22 24 20 6 54 54 16

SPT(16)	1270345573037902367	0 12 26 80 110 116 122 144 152 174 180 186 216 270 284 296	-1364324260050
STPT(10)	1270345596287574407	0 2 42 44 72 74 102 104 144 146	-1341074588010
SPT(16)	1270345670535131963	0 14 26 44 48 80 104 110 234 240 264 296 300 318 330 344	-1266827030454
SPT(16)	1270346463445960387	0 34 60 64 70 112 120 126 160 166 174 216 222 226 252 286	-473916202030
SPT(16)	1270346507676170501	0 20 30 36 66 78 128 146 192 210 260 272 302 308 318 338	-429685991916
SPT(16)	1270346633955830489	0 2 18 42 78 84 90 104 198 212 218 224 260 284 300 302	-303406331928
SPT(16)	1270347061943577817	0 16 34 96 132 184 196 220 306 330 342 394 430 492 510 526	124581415400
TPT(14)	1270347190782217739	0 2 48 50 72 74 78 80 102 104 330 332 378 380	253420055322
STPT(10)	1270347271748766257	0 2 54 56 72 74 90 92 144 146	334386603840
SPT(16)	1270347402860783011	0 6 22 72 102 142 156 162 310 316 330 370 400 450 466 472	465498620594
SPT(16)	1270347548964502157	0 42 80 90 116 140 164 182 234 252 276 300 326 336 374 416	611602339740