Prime p₀= 144467174682704899 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 8 10 20 40 90 158 90 40 20 10 8 4 (?)
a_n: 0 4 12 22 42 82 172 330 420 460 480 490 498 502
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: 502
Found by: emoga
db: batch=67, k=14, 4 8 10 20 40 90 158

SPT(14)	144467112323437609	0 10 52 88 90 102 142 168 208 220 222 258 300 310	-62359267290
SPT(14)	144467123288930669	0 12 90 152 164 182 194 210 222 240 252 314 392 404	-51393774230
SPT(14)	144467123810895209	0 48 74 78 98 140 150 158 168 210 230 234 260 308	-50871809690
SPT(14)	144467129618614597	0 22 72 90 100 114 126 160 172 186 196 214 264 286	-45064090302
SPT(14)	144467165665411157	0 30 56 72 92 116 176 210 270 294 314 330 356 386	-9017293742
TPT(12)	144467166346156991	0 2 30 32 36 38 78 80 108 110 198 200	-8336547908
STPT(10)	144467182487812697	0 2 42 44 102 104 162 164 204 206	7805107798
TPT(12)	144467201890290269	0 2 12 14 18 20 48 50 72 74 90 92	27207585370
SPT(14)	144467235428963761	0 6 70 90 96 100 118 150 168 172 178 198 262 268	60746258862
SPT(14)	144467269083849851	0 32 80 86 132 138 156 182 200 206 252 258 306 338	94401144952
SPT(14)	144467282134992857	0 32 36 60 62 162 176 186 200 300 302 326 330 362	107452287958