Prime p₀= 2566769028328208471 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 48 14 4 26 34 12 42 8 42 12 34 26 4 14 48 (?)
a_n: 0 48 62 66 92 126 138 180 188 230 242 276 302 306 320 368
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: 368
Found by: JayPi
db: batch=82, k=16, 48 14 4 26 34 12 42 8

SPT(16)	2566767802220280787	0 36 90 102 120 154 160 172 174 186 192 226 244 256 310 346	-1226107927684
STPT(10)	2566768624416468089	0 2 48 50 60 62 72 74 120 122	-403911740382
STPT(10)	2566768757496294191	0 2 36 38 78 80 120 122 156 158	-270831914280
SPT(16)	2566768922261374763	0 20 36 48 84 86 104 126 128 150 168 170 206 218 234 254	-106066833708
SPT(16)	2566768965732929537	0 60 62 72 104 110 144 156 170 182 216 222 254 264 266 326	-62595278934
STPT(12)	2566769009121782669	0 2 12 14 72 74 78 80 138 140 150 152	-19206425802
STPT(10)	2566769303405191499	0 2 18 20 30 32 42 44 60 62	275076983028
SPT(16)	2566769681947367021	0 42 48 90 108 138 140 182 198 240 242 272 290 332 338 380	653619158550
SPT(16)	2566769919035736721	0 40 42 72 82 108 112 130 150 168 172 198 208 238 240 280	890707528250
SPT(16)	2566769972754759097	0 30 36 72 82 100 112 126 196 210 222 240 250 286 292 322	944426550626
STPT(10)	2566770050240943431	0 2 66 68 108 110 150 152 216 218	1021912734960