Prime p₀= 3019132466029882261 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 6 60 30 10 30 54 74 54 30 10 30 60 6 42 (?)
a_n: 0 42 48 108 138 148 178 232 306 360 390 400 430 490 496 538
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: 538
Found by: fzs600
db: batch=82, k=16, 42 6 60 30 10 30 54 74

SPT(16)	3019131806348088163	0 6 24 46 76 84 106 130 150 174 196 204 234 256 274 280	-659681794098
SPT(16)	3019131906184232129	0 42 44 74 92 102 114 128 174 188 200 210 228 258 260 302	-559845650132
STPT(10)	3019132007898416099	0 2 18 20 30 32 42 44 60 62	-458131466162
SPT(16)	3019132027115550721	0 82 88 112 138 148 162 222 238 298 312 322 348 372 378 460	-438914331540
SPT(16)	3019132062071046371	0 2 8 42 50 80 90 120 128 158 168 198 206 240 246 248	-403958835890
TPT(14)	3019132284107531129	0 2 42 44 102 104 198 200 282 284 348 350 378 380	-181922351132
SPT(16)	3019132584251575507	0 16 42 70 114 156 172 174 352 354 370 412 456 484 510 526	118221693246
STPT(10)	3019132597434523247	0 2 60 62 72 74 84 86 144 146	131404640986
SPT(16)	3019132658021238131	0 126 156 198 206 240 318 330 338 350 428 462 470 512 542 668	191991355870
SPT(16)	3019132747188013639	0 18 40 42 58 82 88 102 178 192 198 222 238 240 262 280	281158131378
TPT(14)	3019133230524923777	0 2 24 26 72 74 102 104 144 146 264 266 402 404	764495041516