Prime p₀= 86129516693473661 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 36 24 18 48 42 118 42 48 18 24 36 2 (?)
a_n: 0 2 38 62 80 128 170 288 330 378 396 420 456 458
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: 458
Found by: Paul
db: batch=67, k=14, 2 36 24 18 48 42 118

SPT(14)	86129464812837659	0 42 48 50 90 98 108 122 132 140 180 182 188 230	-51880636002
SPT(14)	86129471248467419	0 2 62 68 80 108 132 170 194 222 234 240 300 302	-45445006242
TPT(12)	86129476749276977	0 2 162 164 252 254 330 332 342 344 354 356	-39944196684
SPT(14)	86129490580712857	0 10 12 24 40 82 126 160 204 246 262 274 276 286	-26112760804
SPT(14)	86129498392612657	0 30 76 82 120 132 154 162 184 196 234 240 286 316	-18300861004
SPT(14)	86129508992098493	0 18 38 48 50 60 74 84 98 108 110 120 140 158	-7701375168
TPT(12)	86129521641707471	0 2 30 32 90 92 96 98 180 182 198 200	4948233810
SPT(14)	86129545954858111	0 28 40 46 66 70 82 156 168 172 192 198 210 238	29261384450
SPT(14)	86129562459394231	0 10 18 22 30 70 108 142 180 220 228 232 240 250	45765920570
SPT(14)	86129568026085889	0 22 40 64 82 90 112 132 154 162 180 204 222 244	51332612228
SPT(16)	86129579693669021	0 32 48 72 108 132 152 158 180 186 206 230 266 290 306 338	63000195360