Prime p₀= 2367546095913880747 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 36 14 12 70 108 26 10 26 108 70 12 14 36 4 (?)
a_n: 0 4 40 54 66 136 244 270 280 306 414 484 496 510 546 550
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: 550
Found by: Coleslaw
db: batch=81, k=16, 4 36 14 12 70 108 26 10

SPT(16)	2367545089991917331	0 38 80 86 108 116 126 152 156 182 192 200 222 228 270 308	-1005921963416
STPT(10)	2367545328191695409	0 2 18 20 30 32 42 44 60 62	-767722185338
SPT(16)	2367545382711027451	0 48 72 102 132 150 162 192 196 226 238 256 286 316 340 388	-713202853296
STPT(10)	2367545547230690381	0 2 36 38 78 80 120 122 156 158	-548683190366
STPT(10)	2367545700192089117	0 2 30 32 42 44 54 56 84 86	-395721791630
SPT(16)	2367545841177492281	0 26 98 108 116 146 186 210 248 272 312 342 350 360 432 458	-254736388466
TPT(14)	2367546235460079137	0 2 114 116 120 122 162 164 204 206 312 314 450 452	139546198390
STPT(10)	2367546274207219877	0 2 30 32 72 74 114 116 144 146	178293339130
SPT(16)	2367546509595124267	0 12 100 112 120 132 154 190 264 300 322 334 342 354 442 454	413681243520
STPT(10)	2367546608029128311	0 2 30 32 60 62 90 92 120 122	512115247564
STPT(10)	2367546762952489169	0 2 18 20 30 32 42 44 60 62	667038608422