Prime p₀= 3216237525122576057 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 12 60 50 84 22 14 4 14 22 84 50 60 12 24 (?)
a_n: 0 24 36 96 146 230 252 266 270 284 306 390 440 500 512 536
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: 536
Found by: vaughan
db: batch=83, k=16, 24 12 60 50 84 22 14 4

SPT(16)	3216236705307470233	0 28 78 88 90 130 166 174 280 288 324 364 366 376 426 454	-819815105824
TPT(14)	3216237139758602801	0 2 6 8 48 50 78 80 156 158 228 230 330 332	-385363973256
STPT(10)	3216237196175824697	0 2 30 32 60 62 90 92 120 122	-328946751360
SPT(16)	3216237247983441289	0 4 12 60 88 114 130 150 202 222 238 264 292 340 348 352	-277139134768
STPT(10)	3216237282809760161	0 2 78 80 138 140 198 200 276 278	-242312815896
STPT(10)	3216237367997709827	0 2 30 32 72 74 114 116 144 146	-157124866230
SPT(16)	3216238002196189423	0 6 10 24 48 84 88 96 208 216 220 256 280 294 298 304	477073613366
SPT(16)	3216238375071227581	0 6 12 22 40 60 70 82 126 138 148 168 186 196 202 208	849948651524
TPT(14)	3216238444538239187	0 2 60 62 72 74 84 86 144 146 210 212 222 224	919415663130
STPT(10)	3216238444538239187	0 2 60 62 72 74 84 86 144 146	919415663130
SPT(16)	3216238530047372761	0 18 22 46 52 78 88 126 172 210 220 246 252 276 280 298	1004924796704