Prime p₀= 404886867138358069 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 42 58 20 16 12 92 12 16 20 58 42 12 (?)
a_n: 0 12 54 112 132 148 160 252 264 280 300 358 400 412
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: 412
Found by: Cruncher Pete
db: batch=70, k=14, 12 42 58 20 16 12 92

SPT(14)	404886845281131439	0 24 30 78 90 118 120 142 144 172 184 232 238 262	-21857226630
SPT(14)	404886845962616629	0 28 148 198 204 264 294 388 418 478 484 534 654 682	-21175741440
SPT(14)	404886852597163621	0 6 60 72 76 126 132 136 142 192 196 208 262 268	-14541194448
SPT(14)	404886854573948807	0 12 54 60 84 102 140 156 194 212 236 242 284 296	-12564409262
TPT(12)	404886856154675579	0 2 12 14 102 104 150 152 192 194 198 200	-10983682490
SPT(14)	404886861746846389	0 10 22 52 54 120 124 180 184 250 252 282 294 304	-5391511680
TPT(12)	404886884635775027	0 2 12 14 24 26 132 134 204 206 222 224	17497416958
SPT(14)	404886887505371599	0 12 40 60 142 160 168 172 180 198 280 300 328 340	20367013530
SPT(14)	404886905609470129	0 28 42 48 70 72 94 108 130 132 154 160 174 202	38471112060
SPT(14)	404886912925245169	0 34 42 90 100 112 172 282 342 354 364 412 420 454	45786887100
SPT(14)	404886917509253357	0 72 92 110 120 122 162 182 222 224 234 252 272 344	50370895288