Prime p₀= 335915159058924317 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 30 50 40 14 18 28 18 14 40 50 30 12 (?)
a_n: 0 12 42 92 132 146 164 192 210 224 264 314 344 356
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: 356
Found by: Cruncher Pete
db: batch=70, k=14, 12 30 50 40 14 18 28

SPT(14)	335915045867303233	0 30 64 66 108 136 168 226 258 286 328 330 364 394	-113191621084
SPT(14)	335915095662728293	0 4 34 48 66 96 106 108 118 148 166 180 210 214	-63396196024
TPT(12)	335915117095296839	0 2 42 44 48 50 78 80 90 92 168 170	-41963627478
SPT(14)	335915121402346357	0 46 54 70 82 100 102 124 126 144 156 172 180 226	-37656577960
SPT(14)	335915123247034337	0 6 12 24 54 90 102 174 186 222 252 264 270 276	-35811889980
SPT(14)	335915153643906227	0 2 30 32 74 132 140 174 182 240 282 284 312 314	-5415018090
SPT(20)	335915165535866509	0 28 40 90 108 112 192 238 292 300 340 348 402 448 528 532 550 600 612 640	6476942192
SPT(14)	335915168822232847	0 22 24 40 42 52 60 64 72 82 84 100 102 124	9763308530
TPT(12)	335915169688134269	0 2 60 62 72 74 120 122 198 200 288 290	10629209952
SPT(14)	335915190219006667	0 66 114 142 154 166 180 196 210 222 234 262 310 376	31160082350
TPT(12)	335915191848021827	0 2 30 32 72 74 252 254 264 266 270 272	32789097510