Prime p₀= 2279954317993423301 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 48 58 12 8 52 72 8 72 52 8 12 58 48 20 (?)
a_n: 0 20 68 126 138 146 198 270 278 350 402 410 422 480 528 548
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: 548
Found by: JayPi
db: batch=81, k=16, 20 48 58 12 8 52 72 8

SPT(16)	2279953207480901959	0 12 58 108 112 114 154 172 180 198 238 240 244 294 340 352	-1110512521342
SPT(16)	2279953625362119823	0 28 46 64 78 84 166 186 208 228 310 316 330 348 366 394	-692631303478
SPT(16)	2279953659919711403	0 26 56 60 80 140 216 248 288 320 396 456 476 480 510 536	-658073711898
STPT(10)	2279953725889573211	0 2 30 32 78 80 126 128 156 158	-592103850090
SPT(16)	2279953920287397451	0 16 28 66 70 88 108 198 208 298 318 336 340 378 390 406	-397706025850
SPT(16)	2279954132273177879	0 2 8 30 38 78 122 140 180 198 242 282 290 312 318 320	-185720245422
SPT(16)	2279954590339913107	0 22 46 76 84 162 222 232 234 244 304 382 390 420 444 466	272346489806
STPT(10)	2279954770099491137	0 2 42 44 72 74 102 104 144 146	452106067836
STPT(10)	2279954845972404047	0 2 42 44 72 74 102 104 144 146	527978980746
SPT(16)	2279955052026901091	0 12 36 50 150 216 240 252 260 272 296 362 462 476 500 512	734033477790
STPT(10)	2279955174709241369	0 2 18 20 30 32 42 44 60 62	856715818068