Prime p₀= 1478710327072098047 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 12 30 60 24 6 24 24 6 24 60 30 12 (?)
a_n: 0 12 42 102 126 132 156 180 186 210 270 300 312
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: 312
Found by: Theadalus
db: batch=78, k=13, 12 30 60 24 6 24

SPT(16)	1478709766676090681	0 80 96 98 140 150 162 168 260 266 278 288 330 332 348 428	-560396007366
STPT(10)	1478709767025000269	0 2 48 50 90 92 132 134 180 182	-560047097778
SPT(16)	1478709830945214551	0 56 146 168 176 180 230 246 332 348 398 402 410 432 522 578	-496126883496
SPT(16)	1478710196961587017	0 60 94 96 120 142 150 172 204 226 234 256 280 282 316 376	-130110511030
STPT(10)	1478710243563640037	0 2 30 32 42 44 54 56 84 86	-83508458010
STPT(10)	1478710307745251039	0 2 18 20 30 32 42 44 60 62	-19326847008
STPT(12)	1478710497427160999	0 2 42 44 72 74 108 110 138 140 180 182	170355062952
STPT(10)	1478710754054530457	0 2 24 26 42 44 60 62 84 86	426982432410
SPT(16)	1478710921966451291	0 66 72 86 108 110 122 150 158 186 198 200 222 236 242 308	594894353244
SPT(16)	1478711295052742119	0 12 28 40 94 102 124 174 298 348 370 378 432 444 460 472	967980644072
STPT(10)	1478711649604674311	0 2 30 32 78 80 126 128 156 158	1322532576264