Prime p₀= 2308957703092663589 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 22 56 34 84 24 6 116 6 24 84 34 56 22 2 (?)
a_n: 0 2 24 80 114 198 222 228 344 350 374 458 492 548 570 572
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: 572
Found by: Landjunge
db: batch=81, k=16, 2 22 56 34 84 24 6 116

SPT(16)	2308956504871143221	0 8 72 78 80 92 122 128 132 138 168 180 182 188 252 260	-1198221520368
STPT(10)	2308956534013983911	0 2 36 38 78 80 120 122 156 158	-1169078679678
SPT(16)	2308956688929254921	0 50 62 78 96 116 120 140 258 278 282 302 320 336 348 398	-1014163408668
SPT(16)	2308956744602932423	0 10 24 28 48 54 58 94 114 150 154 160 180 184 198 208	-958489731166
SPT(16)	2308956991305667187	0 6 42 156 176 246 270 350 372 452 476 546 566 680 716 722	-711786996402
SPT(16)	2308957388442478349	0 2 24 42 44 80 140 218 234 312 372 408 410 428 450 452	-314650185240
SPT(16)	2308958432433688151	0 8 18 48 72 78 176 186 242 252 350 356 380 410 420 428	729341024562
SPT(16)	2308958469583836337	0 12 42 66 100 112 120 142 234 256 264 276 310 334 364 376	766491172748
STPT(10)	2308958533819361519	0 2 18 20 30 32 42 44 60 62	830726697930
STPT(10)	2308958650469515787	0 2 12 14 42 44 72 74 84 86	947376852198
SPT(16)	2308958662646453341	0 12 30 112 130 142 156 186 262 292 306 318 336 418 436 448	959553789752