Prime p₀= 2858329834602098569 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 44 102 10 32 22 44 46 44 22 32 10 102 44 4 (?)
a_n: 0 4 48 150 160 192 214 258 304 348 370 402 412 514 558 562
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: 562
Found by: Landjunge
db: batch=82, k=16, 4 44 102 10 32 22 44 46

SPT(16)	2858328742035731119	0 22 58 72 112 154 162 190 192 220 228 270 310 324 360 382	-1092566367450
STPT(10)	2858328801327072287	0 2 30 32 42 44 54 56 84 86	-1033275026282
SPT(16)	2858329217661281783	0 6 18 20 56 116 138 200 216 278 300 360 396 398 410 416	-616940816786
SPT(16)	2858329248066625549	0 10 42 54 72 90 154 160 192 198 262 280 298 310 342 352	-586535473020
STPT(10)	2858329399493272319	0 2 18 20 30 32 42 44 60 62	-435108826250
SPT(16)	2858329501530379673	0 14 20 38 54 90 108 114 140 146 164 200 216 234 240 254	-333071718896
STPT(10)	2858330398728641531	0 2 36 38 78 80 120 122 156 158	564126542962
SPT(16)	2858330466548368957	0 6 12 36 40 106 126 132 160 166 186 252 256 280 286 292	631946270388
SPT(16)	2858330568946783349	0 14 38 44 48 74 90 150 188 248 264 290 294 300 324 338	734344684780
STPT(10)	2858330698154856677	0 2 30 32 42 44 54 56 84 86	863552758108
TPT(14)	2858330838446212991	0 2 30 32 66 68 78 80 96 98 138 140 198 200	1003844114422