Prime p₀= 463068612293841563 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 50 28 26 54 16 32 22 32 16 54 26 28 50 (?)
a_n: 0 50 78 104 158 174 206 228 260 276 330 356 384 434
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: 434
Found by: vinn@[CNT]
db: batch=70, k=14, 50 28 26 54 16 32 22

SPT(14)	463068541972071523	0 34 46 48 70 130 144 190 204 264 286 288 300 334	-70321770040
SPT(14)	463068545192187203	0 66 78 80 114 120 140 234 254 260 294 296 308 374	-67101654360
SPT(14)	463068568505170379	0 24 72 90 114 120 140 162 182 188 212 230 278 302	-43788671184
SPT(14)	463068587334418327	0 10 16 22 52 100 126 136 162 210 240 246 252 262	-24959423236
SPT(14)	463068592949458889	0 8 38 42 68 122 164 198 240 294 320 324 354 362	-19344382674
SPT(14)	463068608607667451	0 12 32 42 48 50 90 230 270 272 278 288 308 320	-3686174112
SPT(16)	463068616815817151	0 66 80 90 96 116 138 168 170 200 222 242 248 258 272 338	4521975588
SPT(14)	463068633637920943	0 6 24 34 84 100 136 198 234 250 300 310 328 334	21344079380
SPT(14)	463068659902724413	0 6 10 90 108 126 150 184 208 226 244 324 328 334	47608882850
TPT(12)	463068661177195859	0 2 30 32 60 62 78 80 90 92 102 104	48883354296
STPT(10)	463068668342958647	0 2 30 32 72 74 114 116 144 146	56049117084