Prime p₀= 2564870199873313687 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 14 18 4 30 48 36 26 36 48 30 4 18 14 10 (?)
a_n: 0 10 24 42 46 76 124 160 186 222 270 300 304 322 336 346
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: 346
Found by: JayPi
db: batch=82, k=16, 10 14 18 4 30 48 36 26

STPT(10)	2564868983613006911	0 2 36 38 78 80 120 122 156 158	-1216260306776
SPT(16)	2564869012551451601	0 30 42 62 66 72 90 150 188 248 266 272 276 296 308 338	-1187321862086
STPT(10)	2564869217303759669	0 2 78 80 120 122 162 164 240 242	-982569554018
TPT(14)	2564869468953995249	0 2 180 182 198 200 210 212 222 224 270 272 300 302	-730919318438
TPT(14)	2564869751357147501	0 2 66 68 78 80 120 122 156 158 180 182 246 248	-448516166186
SPT(16)	2564869770295398857	0 14 26 140 222 284 296 354 362 420 432 494 576 690 702 716	-429577914830
STPT(10)	2564870304217495007	0 2 30 32 42 44 54 56 84 86	104344181320
STPT(10)	2564870373358264001	0 2 30 32 60 62 90 92 120 122	173484950314
STPT(10)	2564871058744156661	0 2 36 38 78 80 120 122 156 158	858870842974
SPT(16)	2564871124174563031	0 6 60 88 90 100 106 156 190 240 246 256 258 286 340 346	924301249344
SPT(16)	2564871493433622661	0 96 106 120 138 150 192 208 210 226 268 280 298 312 322 418	1293560308974