Prime p₀= 182429078859153803 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 2 34 42 2 42 4 42 2 42 34 2 18 (?)
a_n: 0 18 20 54 96 98 140 144 186 188 230 264 266 284
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: 284
Found by: desktop64
db: batch=69, k=14, 18 2 34 42 2 42 4

SPT(14)	182429005599202249	0 10 52 54 82 118 130 132 144 180 208 210 252 262	-73259951554
SPT(14)	182429011117650901	0 6 22 60 66 132 136 252 256 322 328 366 382 388	-67741502902
SPT(16)	182429015709222077	0 12 24 32 42 60 66 80 96 110 116 134 144 152 164 176	-63149931726
SPT(14)	182429050827214277	0 20 30 42 62 92 102 104 114 144 164 176 186 206	-28031939526
SPT(14)	182429060946790649	0 12 18 60 104 140 164 168 192 228 272 314 320 332	-17912363154
SPT(14)	182429078291242777	0 40 66 106 130 144 150 166 172 186 210 250 276 316	-567911026
SPT(14)	182429097738369967	0 6 46 60 64 90 94 102 106 132 136 150 190 196	18879216164
SPT(14)	182429107225200037	0 60 82 112 130 142 156 250 264 276 294 324 346 406	28366046234
SPT(16)	182429114777477123	0 8 24 48 80 96 114 164 180 230 248 264 296 320 336 344	35918323320
SPT(14)	182429120601734161	0 22 52 58 70 78 82 168 172 180 192 198 228 250	41742580358
TPT(12)	182429131774786067	0 2 12 14 42 44 54 56 90 92 132 134	52915632264