Prime p₀= 2004420716458636771 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 2 40 8 4 50 76 74 76 50 4 8 40 2 16 (?)
a_n: 0 16 18 58 66 70 120 196 270 346 396 400 408 448 450 466
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: 466
Found by: MarkRBright
db: batch=80, k=16, 16 2 40 8 4 50 76 74

STPT(10)	2004419956838903699	0 2 18 20 30 32 42 44 60 62	-759619733072
SPT(16)	2004420123506151361	0 28 58 136 156 180 192 196 222 226 238 262 282 360 390 418	-592952485410
STPT(10)	2004420208702759949	0 2 12 14 90 92 168 170 180 182	-507755876822
STPT(10)	2004420520532746871	0 2 36 38 78 80 120 122 156 158	-195925889900
STPT(10)	2004420563374232849	0 2 18 20 30 32 42 44 60 62	-153084403922
SPT(16)	2004420641452947181	0 10 72 126 142 156 168 190 288 310 322 336 352 406 468 478	-75005689590
SPT(16)	2004421021007567707	0 6 34 42 72 90 100 156 220 276 286 304 334 342 370 376	304548930936
TPT(14)	2004421023992457401	0 2 36 38 78 80 210 212 240 242 258 260 378 380	307533820630
SPT(16)	2004421197528263147	0 2 30 32 36 60 72 116 156 200 212 236 240 242 270 272	481069626376
STPT(10)	2004421208945614601	0 2 6 8 18 20 30 32 36 38	492486977830
STPT(10)	2004421429585048079	0 2 12 14 90 92 168 170 180 182	713126411308