Prime p₀= 2388024509267281099 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 114 22 62 28 12 26 46 26 12 28 62 22 114 24 (?)
a_n: 0 24 138 160 222 250 262 288 334 360 372 400 462 484 598 622
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: 622
Found by: Landjunge
db: batch=81, k=16, 24 114 22 62 28 12 26 46

SPT(16)	2388023882965854883	0 16 24 60 84 120 136 150 274 288 304 340 364 400 408 424	-626301426216
STPT(12)	2388024047566678019	0 2 30 32 48 50 72 74 90 92 120 122	-461700603080
SPT(16)	2388024289339240529	0 84 90 102 204 228 260 284 288 312 344 368 470 482 488 572	-219928040570
SPT(16)	2388024323877565829	0 2 8 18 42 44 54 68 84 98 108 110 134 144 150 152	-185389715270
SPT(18)	2388024417944699579	0 8 12 38 80 104 108 122 134 168 180 194 198 222 264 290 294 302	-91322581520
STPT(10)	2388024466409298329	0 2 18 20 30 32 42 44 60 62	-42857982770
SPT(16)	2388024789123917789	0 14 48 60 72 74 84 104 108 128 138 140 152 164 198 212	279856636690
SPT(16)	2388024883607451727	0 46 52 60 70 114 210 256 300 346 442 486 496 504 510 556	374340170628
SPT(16)	2388025455000775489	0 42 60 78 118 148 250 268 312 330 432 462 502 520 538 580	945733494390
TPT(14)	2388025990740872819	0 2 72 74 108 110 150 152 192 194 240 242 252 254	1481473591720
SPT(16)	2388025992188581037	0 24 54 56 62 140 182 200 216 234 276 354 360 362 392 416	1482921299938