Prime p₀= 2039068299882898579 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 32 16 2 42 70 48 38 48 70 42 2 16 32 22 (?)
a_n: 0 22 54 70 72 114 184 232 270 318 388 430 432 448 480 502
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: 502
Found by: Landjunge
db: batch=80, k=16, 22 32 16 2 42 70 48 38

SPT(16)	2039067159184375003	0 34 48 60 84 154 166 204 220 258 270 340 364 376 390 424	-1140698523576
SPT(16)	2039067327094338433	0 28 34 54 76 78 88 100 144 156 166 168 190 210 216 244	-972788560146
STPT(10)	2039067810314721029	0 2 18 20 30 32 42 44 60 62	-489568177550
SPT(16)	2039067946625910839	0 8 20 30 42 78 84 144 188 248 254 290 302 312 324 332	-353256987740
STPT(10)	2039068060006026977	0 2 42 44 72 74 102 104 144 146	-239876871602
SPT(16)	2039068259710374929	0 12 18 32 44 50 204 222 350 368 522 528 540 554 560 572	-40172523650
SPT(16)	2039068366796567891	0 12 30 36 42 56 96 102 110 116 156 170 176 182 200 212	66913669312
STPT(10)	2039068436509434227	0 2 42 44 72 74 102 104 144 146	136626535648
STPT(10)	2039068900509390677	0 2 12 14 72 74 132 134 144 146	600626492098
SPT(16)	2039068922332335599	0 14 18 32 60 68 98 144 188 234 264 272 300 314 318 332	622449437020
SPT(16)	2039068956306847471	0 10 90 102 112 136 142 156 196 210 216 240 250 262 342 352	656423948892