Prime p₀= 2564868796717265513 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 6 32 12 22 14 12 22 12 14 22 12 32 6 18 (?)
a_n: 0 18 24 56 68 90 104 116 138 150 164 186 198 230 236 254
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: 254
Found by: JayPi
db: batch=82, k=16, 18 6 32 12 22 14 12 22

SPT(16)	2564867667946605157	0 30 36 70 112 120 126 220 222 316 322 330 372 406 412 442	-1128770660356
SPT(16)	2564867709686550221	0 2 38 42 48 50 62 116 132 186 198 200 206 210 246 248	-1087030715292
STPT(10)	2564868055901371679	0 2 18 20 30 32 42 44 60 62	-740815893834
SPT(16)	2564868245786129581	0 42 70 102 162 168 172 202 216 246 250 256 316 348 376 418	-550931135932
SPT(16)	2564868246507825757	0 30 70 72 90 120 130 132 142 144 154 184 202 204 244 274	-550209439756
SPT(16)	2564868762019385869	0 10 34 64 112 138 190 192 220 222 274 300 348 378 402 412	-34697879644
SPT(16)	2564868823084200433	0 30 34 40 58 84 120 154 204 238 274 300 318 324 328 358	26366934920
STPT(10)	2564868834129452657	0 2 42 44 102 104 162 164 204 206	37412187144
STPT(10)	2564868870858593207	0 2 30 32 42 44 54 56 84 86	74141327694
STPT(10)	2564868983613006911	0 2 36 38 78 80 120 122 156 158	186895741398
SPT(16)	2564869012551451601	0 30 42 62 66 72 90 150 188 248 266 272 276 296 308 338	215834186088