Prime p₀= 2388024883607451727 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 6 8 10 44 96 46 44 46 96 44 10 8 6 46 (?)
a_n: 0 46 52 60 70 114 210 256 300 346 442 486 496 504 510 556
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: 556
Found by: Landjunge
db: batch=81, k=16, 46 6 8 10 44 96 46 44

SPT(16)	2388024289339240529	0 84 90 102 204 228 260 284 288 312 344 368 470 482 488 572	-594268211198
SPT(16)	2388024323877565829	0 2 8 18 42 44 54 68 84 98 108 110 134 144 150 152	-559729885898
SPT(18)	2388024417944699579	0 8 12 38 80 104 108 122 134 168 180 194 198 222 264 290 294 302	-465662752148
STPT(10)	2388024466409298329	0 2 18 20 30 32 42 44 60 62	-417198153398
SPT(16)	2388024509267281099	0 24 138 160 222 250 262 288 334 360 372 400 462 484 598 622	-374340170628
SPT(16)	2388024789123917789	0 14 48 60 72 74 84 104 108 128 138 140 152 164 198 212	-94483533938
SPT(16)	2388025455000775489	0 42 60 78 118 148 250 268 312 330 432 462 502 520 538 580	571393323762
TPT(14)	2388025990740872819	0 2 72 74 108 110 150 152 192 194 240 242 252 254	1107133421092
SPT(16)	2388025992188581037	0 24 54 56 62 140 182 200 216 234 276 354 360 362 392 416	1108581129310
STPT(10)	2388025995845918609	0 2 18 20 30 32 42 44 60 62	1112238466882
SPT(16)	2388026057371874581	0 76 88 138 148 162 168 172 246 250 256 270 280 330 342 418	1173764422854