Prime p₀= 2796261412032705619 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 18 4 20 46 24 6 56 6 24 46 20 4 18 30 (?)
a_n: 0 30 48 52 72 118 142 148 204 210 234 280 300 304 322 352
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: 352
Found by: JayPi
db: batch=82, k=16, 30 18 4 20 46 24 6 56

SPT(16)	2796259563541224083	0 6 14 20 30 78 98 120 134 156 176 224 234 240 248 254	-1848491481536
STPT(10)	2796259585519637057	0 2 60 62 72 74 84 86 144 146	-1826513068562
TPT(14)	2796259868957567561	0 2 48 50 96 98 150 152 300 302 306 308 330 332	-1543075138058
SPT(16)	2796260007499571369	0 14 30 32 72 78 84 120 122 158 164 170 210 212 228 242	-1404533134250
SPT(16)	2796261268270664851	0 30 46 76 160 196 252 262 276 286 342 378 462 492 508 538	-143762040768
STPT(10)	2796261307265333417	0 2 42 44 72 74 102 104 144 146	-104767372202
STPT(10)	2796261464634688019	0 2 12 14 30 32 48 50 60 62	52601982400
STPT(10)	2796261629268280487	0 2 30 32 72 74 114 116 144 146	217235574868
SPT(16)	2796261784126423853	0 8 14 30 78 104 108 164 174 230 234 260 308 324 330 338	372093718234
SPT(16)	2796261978177047687	0 6 24 26 30 32 114 146 150 182 264 266 270 272 290 296	566144342068
TPT(14)	2796262325713724837	0 2 12 14 30 32 90 92 102 104 144 146 264 266	913681019218