Prime p₀= 1568422320595256977 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 58 60 54 2 18 28 32 28 18 2 54 60 58 12 (?)
a_n: 0 12 70 130 184 186 204 232 264 292 310 312 366 426 484 496
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: 496
Found by: Theadalus
db: batch=78, k=16, 12 58 60 54 2 18 28 32

SPT(16)	1568421700054619833	0 40 166 168 174 190 196 216 238 258 264 280 286 288 414 454	-620540637144
STPT(10)	1568421700241115491	0 2 30 32 78 80 126 128 156 158	-620354141486
SPT(20)	1568421883042397681	0 6 110 146 156 158 278 336 338 380 396 438 440 498 618 620 630 666 770 776	-437552859296
TPT(14)	1568421997092763529	0 2 12 14 78 80 90 92 138 140 192 194 222 224	-323502493448
TPT(14)	1568422024110951617	0 2 12 14 24 26 60 62 150 152 192 194 210 212	-296484305360
SPT(16)	1568422225787272777	0 6 22 36 82 94 120 124 132 136 162 174 220 234 250 256	-94807984200
TPT(14)	1568423394541183679	0 2 42 44 48 50 102 104 252 254 270 272 342 344	1073945926702
STPT(10)	1568423456977950359	0 2 48 50 90 92 132 134 180 182	1136382693382
SPT(16)	1568423527332732923	0 138 140 164 186 210 224 234 350 360 374 398 420 444 446 584	1206737475946
SPT(16)	1568423544839922853	0 10 60 64 84 106 124 130 144 150 168 190 210 214 264 274	1224244665876
TPT(14)	1568424252116237309	0 2 48 50 78 80 162 164 222 224 360 362 390 392	1931520980332