Prime p₀= 2053833008338646669 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 42 18 6 34 30 12 38 12 30 34 6 18 42 68 (?)
a_n: 0 68 110 128 134 168 198 210 248 260 290 324 330 348 390 458
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: 458
Found by: Landjunge
db: batch=80, k=16, 68 42 18 6 34 30 12 38

SPT(16)	2053831846112410487	0 2 32 56 74 90 110 156 170 216 236 252 270 294 324 326	-1162226236182
SPT(16)	2053832031835697017	0 24 46 100 102 106 130 142 204 216 240 244 246 300 322 346	-976502949652
SPT(16)	2053832115686923657	0 12 30 40 42 52 130 180 196 246 324 334 336 346 364 376	-892651723012
STPT(10)	2053832544159187457	0 2 30 32 42 44 54 56 84 86	-464179459212
SPT(16)	2053832572046243803	0 28 36 58 70 100 126 138 166 178 204 234 246 268 276 304	-436292402866
STPT(10)	2053832870290998437	0 2 42 44 132 134 222 224 264 266	-138047648232
SPT(16)	2053833215066086717	0 4 76 82 120 126 154 162 214 222 250 256 294 300 372 376	206727440048
SPT(16)	2053833216732792661	0 40 46 70 96 112 126 130 132 136 150 166 192 216 222 262	208394145992
SPT(16)	2053833267054157549	0 22 52 70 90 142 220 244 270 294 372 424 444 462 492 514	258715510880
SPT(16)	2053833267147267191	0 36 42 92 102 110 120 180 188 248 258 266 276 326 332 368	258808620522
SPT(16)	2053833343041181531	0 40 42 58 60 70 82 142 156 216 228 238 240 256 258 298	334702534862