Prime p₀= 2398585420356672629 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 4 20 4 18 74 10 14 10 74 18 4 20 4 14 (?)
a_n: 0 14 18 38 42 60 134 144 158 168 242 260 264 284 288 302
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: 302
Found by: Penguin
db: batch=82, k=16, 14 4 20 4 18 74 10 14

SPT(16)	2398584814208400707	0 30 50 66 156 162 206 212 234 240 284 290 380 396 416 446	-606148271922
STPT(10)	2398584884453565719	0 2 18 20 30 32 42 44 60 62	-535903106910
SPT(16)	2398585000337915707	0 42 54 70 82 142 174 196 390 412 444 504 516 532 544 586	-420018756922
SPT(16)	2398585054964788447	0 16 114 142 150 174 190 192 244 246 262 286 294 322 420 436	-365391884182
SPT(16)	2398585106863805347	0 42 64 124 126 132 166 204 262 300 334 340 342 402 424 466	-313492867282
STPT(10)	2398585244541267401	0 2 6 8 48 50 90 92 96 98	-175815405228
STPT(10)	2398585561011681257	0 2 60 62 72 74 84 86 144 146	140655008628
STPT(10)	2398586123702179727	0 2 30 32 42 44 54 56 84 86	703345507098
STPT(10)	2398586245407584129	0 2 42 44 60 62 78 80 120 122	825050911500
SPT(16)	2398586425977945353	0 38 44 66 78 80 96 156 218 278 294 296 308 330 336 374	1005621272724
SPT(16)	2398586542622407183	0 16 18 28 36 54 88 118 126 156 190 208 216 226 228 244	1122265734554