Prime p₀= 115356417701890207 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 14 4 26 16 72 38 72 16 26 4 14 22 (?)
a_n: 0 22 36 40 66 82 154 192 264 280 306 310 324 346
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: 346
Found by: emoga
db: batch=67, k=14, 22 14 4 26 16 72 38

SPT(14)	115356323629455413	0 8 18 24 38 68 74 120 126 156 170 176 186 194	-94072434794
TPT(12)	115356341941502951	0 2 18 20 78 80 90 92 120 122 126 128	-75760387256
SPT(14)	115356353373890257	0 10 30 40 70 72 76 90 94 96 126 136 156 166	-64327999950
SPT(14)	115356370979160781	0 10 12 28 42 100 108 130 138 196 210 226 228 238	-46722729426
SPT(14)	115356378478234529	0 12 38 102 108 128 164 258 294 314 320 384 410 422	-39223655678
SPT(14)	115356396224517449	0 42 60 80 102 128 140 180 192 218 240 260 278 320	-21477372758
SPT(14)	115356439632413389	0 22 34 48 54 64 124 198 258 268 274 288 300 322	21930523182
SPT(14)	115356439863351529	0 34 72 78 94 108 160 192 244 258 274 280 318 352	22161461322
SPT(14)	115356455620214099	0 2 30 42 90 114 128 174 188 212 260 272 300 302	37918323892
SPT(14)	115356456422140771	0 6 18 60 66 82 88 90 96 112 118 160 172 178	38720250564
SPT(14)	115356458564078429	0 18 20 54 78 80 92 150 162 164 188 222 224 242	40862188222