Prime p₀= 1282505495911747873 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 54 12 4 54 56 36 4 36 56 54 4 12 54 24 (?)
a_n: 0 24 78 90 94 148 204 240 244 280 336 390 394 406 460 484
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: 484
Found by: Cruncher Pete
db: batch=77, k=16, 24 54 12 4 54 56 36 4

SPT(16)	1282503928437423929	0 24 30 44 68 72 110 164 198 252 290 294 318 332 338 362	-1567474323944
STPT(10)	1282504565132425277	0 2 24 26 42 44 60 62 84 86	-930779322596
SPT(16)	1282504819520808827	0 20 26 56 114 116 144 146 150 152 180 182 240 270 276 296	-676390939046
SPT(16)	1282505046654207967	0 30 42 52 90 100 136 154 162 180 216 226 264 274 286 316	-449257539906
SPT(16)	1282505248137160573	0 10 28 84 88 126 130 136 138 144 148 186 190 246 264 274	-247774587300
SPT(16)	1282505327303303063	0 6 20 126 228 230 258 266 360 368 396 398 500 606 620 626	-168608444810
SPT(16)	1282505689668232759	0 34 60 70 100 112 114 130 144 160 162 174 204 214 240 274	193756484886
TPT(14)	1282505820491702459	0 2 30 32 42 44 78 80 90 92 168 170 228 230	324579954586
SPT(16)	1282506134371240039	0 4 60 70 72 94 162 192 232 262 330 352 354 364 420 424	638459492166
SPT(16)	1282506345032505349	0 28 30 72 94 120 130 142 150 162 172 198 220 262 264 292	849120757476
SPT(16)	1282506871523719423	0 46 60 84 114 124 154 156 238 240 270 280 310 334 348 394	1375611971550