Prime p₀= 304010059429604623 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 12 18 30 44 10 26 10 44 30 18 12 16 (?)
a_n: 0 16 28 46 76 120 130 156 166 210 240 258 270 286
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 286
Found by: ladmo
db: batch=69, k=14, 16 12 18 30 44 10 26

SPT(16)	304009925473842551	0 18 38 60 62 66 80 116 132 168 182 186 188 210 230 248	-133955762072
SPT(14)	304009986034499483	0 60 68 98 104 168 170 198 200 264 270 300 308 368	-73395105140
SPT(14)	304009986864473363	0 108 110 138 204 224 258 320 354 374 440 468 470 578	-72565131260
SPT(14)	304010010617297359	0 64 70 82 102 168 190 222 244 310 330 342 348 412	-48812307264
SPT(14)	304010038234518193	0 4 30 34 76 114 130 144 160 198 240 244 270 274	-21195086430
SPT(14)	304010045472652199	0 18 30 50 84 128 132 200 204 248 282 302 314 332	-13956952424
SPT(14)	304010081062128787	0 10 12 16 22 76 82 150 156 210 216 220 222 232	21632524164
SPT(14)	304010088370975387	0 36 112 136 174 252 300 316 364 442 480 504 580 616	28941370764
SPT(16)	304010098720540123	0 136 150 156 186 196 214 256 384 426 444 454 484 490 504 640	39290935500
SPT(14)	304010099689390957	0 42 66 90 106 120 126 136 142 156 172 196 220 262	40259786334
SPT(14)	304010100925139491	0 22 36 70 72 82 100 108 126 136 138 172 186 208	41495534868