Prime p₀= 400337786721983863 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 26 40 26 88 2 22 2 88 26 40 26 4 (?)
a_n: 0 4 30 70 96 184 186 208 210 298 324 364 390 394
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: 394
Found by: Cruncher Pete
db: batch=70, k=14, 4 26 40 26 88 2 22

SPT(14)	400337684746690039	0 40 60 88 90 94 114 154 174 178 180 208 228 268	-101975293824
SPT(14)	400337699579861101	0 16 22 28 42 48 60 88 100 106 120 126 132 148	-87142122762
SPT(14)	400337703772698353	0 8 36 48 84 128 158 186 216 260 296 308 336 344	-82949285510
STPT(10)	400337741423542421	0 2 36 38 78 80 120 122 156 158	-45298441442
SPT(14)	400337759814790417	0 12 34 60 64 90 132 154 196 222 226 252 274 286	-26907193446
TPT(12)	400337781400828067	0 2 24 26 42 44 60 62 144 146 192 194	-5321155796
SPT(14)	400337791556373917	0 32 72 74 80 96 114 122 140 156 162 164 204 236	4834390054
SPT(14)	400337810864298451	0 28 46 60 78 118 130 198 210 250 268 282 300 328	24142314588
SPT(14)	400337817854941451	0 2 30 42 66 72 78 80 86 92 116 128 156 158	31132957588
SPT(14)	400337820274384247	0 12 36 56 120 126 132 134 140 146 210 230 254 266	33552400384
SPT(14)	400337822215255949	0 8 38 50 78 84 120 212 248 254 282 294 324 332	35493272086