Prime p₀= 2413107023111369051 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 40 66 36 14 34 32 34 32 34 14 36 66 40 20 (?)
a_n: 0 20 60 126 162 176 210 242 276 308 342 356 392 458 498 518
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 518
Found by: JayPi
db: batch=82, k=16, 20 40 66 36 14 34 32 34

SPT(16)	2413104643420587293	0 8 36 90 114 116 158 168 206 216 258 260 284 338 366 374	-2379690781758
STPT(10)	2413104901713387977	0 2 30 32 42 44 54 56 84 86	-2121397981074
STPT(10)	2413105723327457537	0 2 30 32 42 44 54 56 84 86	-1299783911514
STPT(10)	2413105732120022081	0 2 6 8 18 20 30 32 36 38	-1290991346970
SPT(16)	2413105843136136341	0 6 8 26 32 50 86 90 98 102 138 156 162 180 182 188	-1179975232710
TPT(14)	2413106753763573599	0 2 18 20 132 134 210 212 222 224 240 242 270 272	-269347795452
STPT(10)	2413107250167677717	0 2 42 44 132 134 222 224 264 266	227056308666
SPT(18)	2413107483778837199	0 8 18 44 54 78 120 134 210 212 288 302 344 368 378 404 414 422	460667468148
SPT(16)	2413107822634553383	0 6 34 40 96 100 124 138 196 210 234 238 294 300 328 334	799523184332
STPT(10)	2413108073630117621	0 2 6 8 18 20 30 32 36 38	1050518748570
STPT(10)	2413108329996409601	0 2 6 8 48 50 90 92 96 98	1306885040550