Prime p₀= 2464483597785000683 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 20 52 128 34 8 16 26 16 8 34 128 52 20 6 (?)
a_n: 0 6 26 78 206 240 248 264 290 306 314 348 476 528 548 554
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: 554
Found by: JayPi
db: batch=82, k=16, 6 20 52 128 34 8 16 26

SPT(16)	2464482694963142729	0 30 54 110 122 144 162 168 194 200 218 240 252 308 332 362	-902821857954
STPT(10)	2464482861964859927	0 2 42 44 72 74 102 104 144 146	-735820140756
SPT(16)	2464482888880503793	0 18 30 40 66 106 120 156 178 214 228 268 294 304 316 334	-708904496890
STPT(10)	2464482958362920237	0 2 30 32 42 44 54 56 84 86	-639422080446
SPT(16)	2464483249882871963	0 14 44 74 78 96 104 126 188 210 218 236 240 270 300 314	-347902128720
SPT(16)	2464483585762185431	0 2 8 72 78 96 110 152 156 198 212 230 236 300 306 308	-12022815252
TPT(14)	2464483829694556037	0 2 12 14 30 32 54 56 102 104 132 134 144 146	231909555354
SPT(16)	2464483851119908777	0 4 34 46 54 60 70 120 136 186 196 202 210 222 252 256	253334908094
SPT(16)	2464483913531787893	0 30 36 54 74 78 120 128 186 194 236 240 260 278 284 314	315746787210
STPT(10)	2464483985337854939	0 2 18 20 30 32 42 44 60 62	387552854256
SPT(16)	2464484050598599357	0 4 6 42 54 72 154 180 256 282 364 382 394 430 432 436	452813598674