Prime p₀= 1282505248137160573 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 18 56 4 38 4 6 2 6 4 38 4 56 18 10 (?)
a_n: 0 10 28 84 88 126 130 136 138 144 148 186 190 246 264 274
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: 274
Found by: Cruncher Pete
db: batch=77, k=16, 10 18 56 4 38 4 6 2

STPT(10)	1282503477621773549	0 2 18 20 30 32 42 44 60 62	-1770515387024
STPT(10)	1282503817045454501	0 2 36 38 78 80 120 122 156 158	-1431091706072
SPT(16)	1282503928437423929	0 24 30 44 68 72 110 164 198 252 290 294 318 332 338 362	-1319699736644
STPT(10)	1282504565132425277	0 2 24 26 42 44 60 62 84 86	-683004735296
SPT(16)	1282504819520808827	0 20 26 56 114 116 144 146 150 152 180 182 240 270 276 296	-428616351746
SPT(16)	1282505046654207967	0 30 42 52 90 100 136 154 162 180 216 226 264 274 286 316	-201482952606
SPT(16)	1282505327303303063	0 6 20 126 228 230 258 266 360 368 396 398 500 606 620 626	79166142490
SPT(16)	1282505495911747873	0 24 78 90 94 148 204 240 244 280 336 390 394 406 460 484	247774587300
SPT(16)	1282505689668232759	0 34 60 70 100 112 114 130 144 160 162 174 204 214 240 274	441531072186
TPT(14)	1282505820491702459	0 2 30 32 42 44 78 80 90 92 168 170 228 230	572354541886
SPT(16)	1282506134371240039	0 4 60 70 72 94 162 192 232 262 330 352 354 364 420 424	886234079466