Prime p₀= 2729573606920164869 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 54 6 18 12 48 36 36 48 12 18 6 54 (?)
a_n: 0 54 60 78 90 138 174 210 258 270 288 294 348
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 348
Found by: JayPi
db: batch=82, k=13, 54 6 18 12 48 36

SPT(16)	2729572005613816927	0 4 16 40 76 90 100 132 154 186 196 210 246 270 282 286	-1601306347942
SPT(18)	2729572079251691893	0 16 48 66 94 154 168 196 226 228 258 286 300 360 388 406 438 454	-1527668472976
SPT(16)	2729572300779353423	0 6 20 36 56 78 104 108 146 150 176 198 218 234 248 254	-1306140811446
STPT(10)	2729572477450602137	0 2 54 56 72 74 90 92 144 146	-1129469562732
SPT(16)	2729572887074873123	0 8 18 50 78 140 170 176 180 186 216 278 306 338 348 356	-719845291746
SPT(16)	2729573405671364507	0 72 84 120 126 162 164 180 206 222 224 260 266 302 314 386	-201248800362
SPT(16)	2729573641912832441	0 60 68 72 102 122 152 158 390 396 426 446 476 480 488 548	34992667572
STPT(10)	2729574134152743089	0 2 18 20 60 62 102 104 120 122	527232578220
STPT(10)	2729574221822501267	0 2 30 32 42 44 54 56 84 86	614902336398
SPT(16)	2729574357524415941	0 36 42 60 72 78 86 128 150 192 200 206 218 236 242 278	750604251072
STPT(10)	2729574738201568847	0 2 42 44 72 74 102 104 144 146	1131281403978