Prime p₀= 2142457821700005917 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 10 26 28 6 14 102 178 102 14 6 28 26 10 20 (?)
a_n: 0 20 30 56 84 90 104 206 384 486 500 506 534 560 570 590
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: 590
Found by: Landjunge
db: batch=80, k=16, 20 10 26 28 6 14 102 178

SPT(16)	2142456947270808577	0 10 40 82 84 156 160 166 210 216 220 292 294 336 366 376	-874429197340
STPT(10)	2142456974857013909	0 2 48 50 90 92 132 134 180 182	-846842992008
STPT(10)	2142456979516170011	0 2 30 32 78 80 126 128 156 158	-842183835906
SPT(16)	2142457142275741337	0 2 36 44 54 74 120 132 224 236 282 302 312 320 354 356	-679424264580
SPT(16)	2142457259641758079	0 12 42 48 82 100 108 118 132 142 150 168 202 208 238 250	-562058247838
STPT(10)	2142457601965679819	0 2 42 44 60 62 78 80 120 122	-219734326098
TPT(14)	2142458587554999029	0 2 120 122 138 140 198 200 330 332 348 350 390 392	765854993112
SPT(16)	2142458946871081829	0 12 60 72 74 90 92 132 182 222 224 240 242 254 302 314	1125171075912
STPT(10)	2142458997009212249	0 2 18 20 30 32 42 44 60 62	1175309206332
STPT(10)	2142459707704338689	0 2 42 44 60 62 78 80 120 122	1886004332772
SPT(16)	2142459994938462763	0 4 36 48 54 90 130 160 174 204 244 280 286 298 330 334	2173238456846