Prime p₀= 2306663124396677797 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 2 52 66 2 6 10 26 10 6 2 66 52 2 22 (?)
a_n: 0 22 24 76 142 144 150 160 186 196 202 204 270 322 324 346
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: Landjunge
db: batch=81, k=16, 22 2 52 66 2 6 10 26

SPT(16)	2306661326897878393	0 4 34 46 48 94 108 150 154 196 210 256 258 270 300 304	-1797498799404
SPT(16)	2306661456515723207	0 42 62 66 80 84 110 134 192 216 242 246 260 264 284 326	-1667880954590
SPT(16)	2306661653097439669	0 42 72 82 114 168 192 234 238 280 304 358 390 400 430 472	-1471299238128
STPT(10)	2306662397073964409	0 2 18 20 30 32 42 44 60 62	-727322713388
SPT(16)	2306662529064924661	0 52 66 138 226 250 270 298 360 388 408 432 520 592 606 658	-595331753136
SPT(16)	2306662535557267319	0 12 42 48 80 108 110 132 158 180 182 210 242 248 278 290	-588839410478
STPT(10)	2306663343499260749	0 2 48 50 90 92 132 134 180 182	219102582952
STPT(10)	2306663635677537677	0 2 30 32 72 74 114 116 144 146	511280859880
TPT(14)	2306663731450354097	0 2 54 56 84 86 150 152 174 176 204 206 222 224	607053676300
SPT(16)	2306663774443071871	0 6 36 46 70 76 100 148 198 246 270 276 300 310 340 346	650046394074
STPT(10)	2306664970646334209	0 2 18 20 30 32 42 44 60 62	1846249656412