Prime p₀= 3917015305581067 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 66 10 18 14 112 44 112 14 18 10 66 6 (?)
a_n: 0 6 72 82 100 114 226 270 382 396 414 424 490 496
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: 496
Found by: Tomáš Brada
db: batch=61, k=14, 6 66 10 18 14 112 44

SPT(14)	3916973451884851	0 28 42 102 108 112 168 190 246 250 256 316 330 358	-41853696216
TPT(12)	3916975326800321	0 2 36 38 78 80 90 92 120 122 156 158	-39978780746
SPT(14)	3916996058907047	0 2 44 86 96 116 140 156 180 200 210 252 294 296	-19246674020
SPT(16)	3916997144137717	0 6 16 22 24 30 34 52 54 72 76 82 84 90 100 106	-18161443350
SPT(14)	3916997684614039	0 18 22 42 54 58 64 78 84 88 100 120 124 142	-17620967028
SPT(14)	3917005336697951	0 36 38 42 50 66 78 80 92 108 116 120 122 158	-9968883116
TPT(12)	3917027950106561	0 2 6 8 78 80 96 98 120 122 180 182	12644525494
TPT(12)	3917041383093227	0 2 30 32 54 56 102 104 114 116 174 176	26077512160
TPT(12)	3917050605089747	0 2 30 32 54 56 102 104 144 146 180 182	35299508680
SPT(14)	3917062867506983	0 8 50 90 98 110 116 168 174 186 194 234 276 284	47561925916
SPT(14)	3917063298025909	0 12 28 40 82 198 234 238 274 390 432 444 460 472	47992444842