Prime p₀= 2858319138169411571 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 42 6 10 20 12 36 16 36 12 20 10 6 42 20 (?)
a_n: 0 20 62 68 78 98 110 146 162 198 210 230 240 246 288 308
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: 308
Found by: Roadranner
db: batch=82, k=16, 20 42 6 10 20 12 36 16

SPT(16)	2858318184561128551	0 36 40 72 120 142 198 268 300 370 426 448 496 528 532 568	-953608283020
STPT(10)	2858318220871640279	0 2 18 20 30 32 42 44 60 62	-917297771292
STPT(10)	2858318663920918997	0 2 30 32 42 44 54 56 84 86	-474248492574
SPT(16)	2858318750992568209	0 22 34 100 118 132 178 202 360 384 430 444 462 528 540 562	-387176843362
SPT(16)	2858318840882324383	0 46 114 124 210 244 246 288 376 418 420 454 540 550 618 664	-297287087188
TPT(14)	2858318964918317429	0 2 12 14 90 92 180 182 348 350 408 410 432 434	-173251094142
TPT(14)	2858319361104376439	0 2 30 32 48 50 72 74 90 92 138 140 282 284	222934964868
SPT(18)	2858319513858464321	0 26 30 42 56 66 68 96 150 158 212 240 242 252 266 278 282 308	375689052750
SPT(16)	2858319549998437883	0 18 86 96 138 156 168 176 270 278 290 308 350 360 428 446	411829026312
STPT(10)	2858319649369392737	0 2 12 14 42 44 72 74 84 86	511199981166
SPT(16)	2858319779593385581	0 40 42 70 78 82 108 132 238 262 288 292 300 328 330 370	641423974010