Prime p₀= 7395869948203159 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 78 4 18 84 26 42 28 42 26 84 18 4 78 (?)
a_n: 0 78 82 100 184 210 252 280 322 348 432 450 454 532
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: 532
Found by: Roadranner
db: batch=62, k=14, 78 4 18 84 26 42 28

SPT(14)	7395832716916481	0 26 48 62 66 78 92 96 110 122 126 140 162 188	-37231286678
SPT(14)	7395835019572561	0 6 22 48 78 100 112 156 168 190 220 246 262 268	-34928630598
SPT(14)	7395837578431441	0 52 60 66 96 102 150 172 220 226 256 262 270 322	-32369771718
SPT(14)	7395853970873983	0 6 28 40 58 70 108 118 156 168 186 198 220 226	-15977329176
SPT(16)	7395859913226991	0 12 22 72 82 96 112 118 120 126 142 156 166 216 226 238	-10034976168
SPT(14)	7395868980247271	0 18 72 80 98 108 140 210 242 252 270 278 332 350	-967955888
TPT(12)	7395875283109931	0 2 120 122 126 128 156 158 168 170 258 260	5334906772
SPT(14)	7395875862223987	0 12 34 40 46 76 112 144 180 210 216 222 244 256	5914020828
SPT(14)	7395876358037599	0 4 12 42 60 64 78 94 108 112 130 160 168 172	6409834440
SPT(14)	7395876748508251	0 6 28 42 58 66 72 76 82 90 106 120 142 148	6800305092
SPT(14)	7395882308513323	0 18 34 36 60 70 76 78 84 94 118 120 136 154	12360310164