Prime p₀= 7409817323577187 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 6 8 6 52 80 22 80 52 6 8 6 10 (?)
a_n: 0 10 16 24 30 82 162 184 264 316 322 330 336 346
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: 346
Found by: crashtech
db: batch=62, k=14, 10 6 8 6 52 80 22

SPT(14)	7409777200327891	0 6 46 48 72 112 130 168 186 226 250 252 292 298	-40123249296
SPT(14)	7409798140926739	0 12 18 22 70 78 90 292 304 312 360 364 370 382	-19182650448
SPT(14)	7409801754875269	0 10 18 22 28 52 84 88 120 144 150 154 162 172	-15568701918
SPT(14)	7409808373866277	0 10 60 100 120 126 162 214 250 256 276 316 366 376	-8949710910
SPT(16)	7409808924216529	0 64 90 112 168 190 204 264 328 388 402 424 480 502 528 592	-8399360658
SPT(14)	7409813475910291	0 90 96 102 118 130 132 286 288 300 316 322 328 418	-3847666896
SPT(14)	7409818713848833	0 100 148 154 184 190 234 274 318 324 354 360 408 508	1390271646
SPT(14)	7409829612707663	0 8 26 30 44 50 78 116 144 150 164 168 186 194	12289130476
SPT(16)	7409849326404463	0 24 28 64 66 78 94 136 138 180 196 208 210 246 250 274	32002827276
SPT(14)	7409852837679739	0 24 30 40 42 52 82 102 132 142 144 154 160 184	35514102552
SPT(14)	7409853098846687	0 30 56 126 156 164 170 180 186 194 224 294 320 350	35775269500