Prime p₀= 505313978828754287 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 18 14 18 70 18 104 18 70 18 14 18 12 (?)
a_n: 0 12 30 44 62 132 150 254 272 342 360 374 392 404
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: 404
Found by: nenym
db: batch=71, k=14, 12 18 14 18 70 18 104

TPT(12)	505313878071888791	0 2 48 50 66 68 78 80 96 98 168 170	-100756865496
SPT(14)	505313878625072827	0 22 24 70 94 100 112 144 156 162 186 232 234 256	-100203681460
SPT(14)	505313918997293701	0 72 78 106 120 126 130 138 142 148 162 190 196 268	-59831460586
TPT(12)	505313923314286937	0 2 30 32 42 44 54 56 90 92 114 116	-55514467350
TPT(12)	505313925301110659	0 2 30 32 192 194 198 200 222 224 240 242	-53527643628
SPT(14)	505313938064386211	0 8 12 60 68 92 138 182 228 252 260 308 312 320	-40764368076
SPT(14)	505313987372099327	0 6 14 32 44 66 90 116 140 162 174 192 200 206	8543345040
TPT(14)	505313993531885579	0 2 30 32 60 62 138 140 240 242 270 272 348 350	14703131292
SPT(14)	505314001431795029	0 18 50 78 110 140 162 290 312 342 374 402 434 452	22603040742
SPT(14)	505314013962082399	0 60 78 84 138 154 250 252 348 364 418 424 442 502	35133328112
SPT(14)	505314035797936843	0 70 76 90 136 156 168 286 298 318 364 378 384 454	56969182556