Prime p₀= 2504176658299337969 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 38 4 48 8 6 54 16 54 6 8 48 4 38 30 (?)
a_n: 0 30 68 72 120 128 134 188 204 258 264 272 320 324 362 392
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: 392
Found by: JayPi
db: batch=82, k=16, 30 38 4 48 8 6 54 16

SPT(16)	2504174360693944979	0 18 20 32 98 174 210 218 234 242 278 354 420 432 434 452	-2297605392990
SPT(16)	2504174404343495161	0 36 48 120 150 166 178 222 286 330 342 358 388 460 472 508	-2253955842808
SPT(16)	2504174484451633177	0 10 22 66 106 112 120 126 136 142 150 156 196 240 252 262	-2173847704792
STPT(10)	2504174631410332577	0 2 30 32 72 74 114 116 144 146	-2026889005392
TPT(14)	2504174707752295421	0 2 30 32 48 50 156 158 186 188 198 200 258 260	-1950547042548
SPT(16)	2504175080982510253	0 30 40 58 70 96 120 148 156 184 208 234 246 264 274 304	-1577316827716
SPT(16)	2504178105646239331	0 36 66 70 72 78 130 136 162 168 220 226 228 232 262 298	1447346901362
STPT(10)	2504178175580140427	0 2 30 32 42 44 54 56 84 86	1517280802458
TPT(14)	2504178362984019341	0 2 6 8 90 92 168 170 180 182 228 230 240 242	1704684681372
TPT(14)	2504178807559337267	0 2 102 104 144 146 204 206 240 242 294 296 300 302	2149259999298
STPT(10)	2504178886150966667	0 2 24 26 42 44 60 62 84 86	2227851628698