Prime p₀= 2168376183388740053 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 30 70 2 12 30 10 14 10 30 12 2 70 30 56 (?)
a_n: 0 56 86 156 158 170 200 210 224 234 264 276 278 348 378 434
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: 434
Found by: JayPi
db: batch=81, k=16, 56 30 70 2 12 30 10 14

SPT(16)	2168375151635367527	0 20 26 66 84 86 102 144 152 194 210 212 230 270 276 296	-1031753372526
STPT(10)	2168375198211443831	0 2 36 38 78 80 120 122 156 158	-985177296222
STPT(10)	2168375345717464061	0 2 6 8 48 50 90 92 96 98	-837671275992
STPT(10)	2168375662593393179	0 2 12 14 90 92 168 170 180 182	-520795346874
SPT(16)	2168375902216876333	0 18 28 48 78 130 186 196 210 220 276 328 358 378 388 406	-281171863720
SPT(16)	2168376102900247661	0 12 38 102 156 168 182 186 332 336 350 362 416 480 506 518	-80488492392
STPT(10)	2168376289094089889	0 2 12 14 90 92 168 170 180 182	105705349836
TPT(14)	2168376310154714927	0 2 42 44 114 116 120 122 180 182 282 284 372 374	126765974874
SPT(16)	2168376312171729731	0 32 66 96 110 122 156 170 192 206 240 252 266 296 330 362	128782989678
SPT(16)	2168376348077118787	0 6 60 144 154 210 222 256 300 334 346 402 412 496 550 556	164688378734
SPT(16)	2168376349054211929	0 22 64 70 72 114 124 150 154 180 190 232 234 240 282 304	165665471876