Prime p₀= 1273559027158195067 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 24 6 8 84 12 30 4 30 12 84 8 6 24 12 (?)
a_n: 0 12 36 42 50 134 146 176 180 210 222 306 314 320 344 356
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: 356
Found by: HenkM
db: batch=77, k=16, 12 24 6 8 84 12 30 4

SPT(16)	1273558341845852693	0 24 54 66 114 116 126 176 228 278 288 290 338 350 380 404	-685312342374
SPT(16)	1273558370206286383	0 30 64 70 76 84 88 126 178 216 220 228 234 240 274 304	-656951908684
SPT(16)	1273558623306269701	0 16 18 48 90 172 256 286 312 342 426 508 550 580 582 598	-403851925366
STPT(10)	1273558629272763311	0 2 30 32 78 80 126 128 156 158	-397885431756
SPT(16)	1273558748638667171	0 18 20 50 62 108 132 140 150 158 182 228 240 270 272 290	-278519527896
SPT(16)	1273558799712045829	0 12 72 90 100 124 142 154 210 222 240 264 274 292 352 364	-227446149238
SPT(18)	1273559070622706731	0 22 28 48 78 162 166 180 208 240 268 282 286 370 400 420 426 448	43464511664
TPT(14)	1273559535322524311	0 2 30 32 138 140 240 242 336 338 366 368 420 422	508164329244
SPT(16)	1273559557116909409	0 12 28 54 78 90 114 124 198 208 232 244 268 294 310 322	529958714342
STPT(10)	1273559675498835227	0 2 24 26 42 44 60 62 84 86	648340640160
TPT(14)	1273560038177176271	0 2 18 20 30 32 90 92 156 158 198 200 210 212	1011018981204