Prime p₀= 2377965819682095457 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 4 26 18 30 22 26 22 26 22 30 18 26 4 36 (?)
a_n: 0 36 40 66 84 114 136 162 184 210 232 262 280 306 310 346
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: 346
Found by: [SG-2W]Kurzer
db: batch=81, k=16, 36 4 26 18 30 22 26 22

SPT(16)	2377965075032355817	0 60 66 72 112 142 144 166 240 262 264 294 334 340 346 406	-744649739640
SPT(16)	2377965220772548531	0 12 48 102 130 132 166 192 196 222 256 258 286 340 376 388	-598909546926
SPT(16)	2377965453971991473	0 6 24 36 50 78 84 98 156 170 176 204 218 230 248 254	-365710103984
SPT(16)	2377965630004885787	0 6 84 104 110 140 146 164 216 234 240 270 276 296 374 380	-189677209670
SPT(16)	2377965705024594001	0 10 52 106 162 168 172 196 252 276 280 286 342 396 438 448	-114657501456
TPT(14)	2377965711788613629	0 2 18 20 42 44 48 50 60 62 72 74 132 134	-107893481828
STPT(10)	2377966201548532409	0 2 42 44 90 92 138 140 180 182	381866436952
TPT(14)	2377966246881749339	0 2 180 182 210 212 270 272 420 422 522 524 552 554	427199653882
SPT(16)	2377967057776028681	0 6 30 50 110 152 176 180 212 216 240 282 342 362 386 392	1238093933224
SPT(16)	2377967119686862177	0 12 34 52 82 90 102 112 144 154 166 174 204 222 244 256	1300004766720
STPT(10)	2377967135126602931	0 2 6 8 18 20 30 32 36 38	1315444507474