Prime p₀= 1273714770466536731 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 30 68 16 2 4 6 32 6 4 2 16 68 30 12 (?)
a_n: 0 12 42 110 126 128 132 138 170 176 180 182 198 266 296 308
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: 308
Found by: HenkM
db: batch=77, k=16, 12 30 68 16 2 4 6 32

STPT(10)	1273713694279462991	0 2 36 38 78 80 120 122 156 158	-1076187073740
SPT(16)	1273714089557345957	0 2 26 54 86 132 152 162 224 234 254 300 332 360 384 386	-680909190774
STPT(12)	1273714168321509917	0 2 30 32 72 74 90 92 132 134 162 164	-602145026814
SPT(16)	1273714275871470067	0 4 12 22 40 60 174 192 232 250 364 384 402 412 420 424	-494595066664
SPT(16)	1273714469395146227	0 12 96 116 122 144 152 182 204 234 242 264 270 290 374 386	-301071390504
STPT(10)	1273714506869050451	0 2 6 8 18 20 30 32 36 38	-263597486280
SPT(16)	1273714909022922761	0 36 42 66 68 110 140 168 290 318 348 390 392 416 422 458	138556386030
SPT(16)	1273715448235329277	0 6 10 24 36 40 126 180 190 244 330 334 346 360 364 370	677768792546
STPT(10)	1273715466602653577	0 2 24 26 42 44 60 62 84 86	696136116846
SPT(16)	1273715664238295557	0 6 12 70 90 96 112 114 142 144 160 166 186 244 250 256	893771758826
SPT(16)	1273716077655284027	0 44 90 92 120 140 156 174 212 230 246 266 294 296 342 386	1307188747296