Prime p₀= 546431432897825521 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 6 18 46 20 24 16 24 20 46 18 6 12 (?)
a_n: 0 12 18 36 82 102 126 142 166 186 232 250 256 268
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: 268
Found by: marsinph
db: batch=71, k=14, 12 6 18 46 20 24 16

SPT(14)	546431393798692057	0 34 36 40 60 82 84 172 174 196 216 220 222 256	-39099133464
SPT(14)	546431395381079471	0 8 30 86 96 110 152 156 198 212 222 278 300 308	-37516746050
SPT(14)	546431396714124107	0 42 102 132 140 200 224 300 324 384 392 422 482 524	-36183701414
SPT(14)	546431415707690479	0 52 102 108 120 172 192 250 270 322 334 340 390 442	-17190135042
SPT(14)	546431416689803243	0 36 56 84 86 120 144 200 224 258 260 288 308 344	-16208022278
SPT(14)	546431420259504443	0 26 74 80 96 108 110 144 146 158 174 180 228 254	-12638321078
SPT(14)	546431434902726001	0 90 126 172 180 280 298 300 318 418 426 472 508 598	2004900480
TPT(12)	546431441447566769	0 2 132 134 180 182 210 212 252 254 288 290	8549741248
SPT(14)	546431476057957739	0 8 18 42 68 78 110 120 152 162 188 212 222 230	43160132218
SPT(14)	546431481863410699	0 12 30 54 64 72 112 162 202 210 220 244 262 274	48965585178
SPT(14)	546431502244974791	0 48 90 96 128 132 158 210 236 240 272 278 320 368	69347149270