Prime p₀= 2316496525814782231 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 18 66 16 20 18 16 20 16 18 20 16 66 18 42 (?)
a_n: 0 42 60 126 142 162 180 196 216 232 250 270 286 352 370 412
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: 412
Found by: Landjunge
db: batch=81, k=16, 42 18 66 16 20 18 16 20

SPT(16)	2316495503743017593	0 6 36 66 84 138 140 150 164 174 176 230 248 278 308 314	-1022071764638
STPT(10)	2316495566421407981	0 2 30 32 78 80 126 128 156 158	-959393374250
TPT(14)	2316495824636053547	0 2 60 62 90 92 222 224 282 284 300 302 312 314	-701178728684
SPT(16)	2316495914028162899	0 32 42 50 74 92 120 152 162 194 222 240 264 272 282 314	-611786619332
SPT(16)	2316496151926129181	0 66 72 126 150 162 182 218 240 276 296 308 332 386 392 458	-373888653050
TPT(14)	2316496160929276871	0 2 108 110 150 152 186 188 210 212 306 308 336 338	-364885505360
SPT(16)	2316496647861451243	0 6 88 100 156 160 196 216 238 258 294 298 354 366 448 454	122046669012
STPT(10)	2316496652156471969	0 2 18 20 30 32 42 44 60 62	126341689738
SPT(18)	2316496989697804217	0 2 44 54 72 162 182 264 282 314 332 414 434 524 542 552 594 596	463883021986
TPT(14)	2316497239669903097	0 2 42 44 84 86 90 92 162 164 174 176 264 266	713855120866
SPT(16)	2316497674510551023	0 6 38 84 134 174 216 224 240 248 290 330 380 426 458 464	1148695768792