Prime p₀= 2066211510855344953 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 60 6 70 20 28 6 26 28 26 28 26 6 28 20 70 6 60 (?)
a_n: 0 60 66 136 156 184 190 216 244 270 298 324 330 358 378 448 454 514
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 514
Found by: Cruncher Pete
db: batch=80, k=18, 60 6 70 20 28 6 26 28 26

SPT(16)	2066208509371982333	0 24 66 68 114 116 140 150 254 264 288 290 336 338 380 404	-3001483362620
SPT(16)	2066208539773174463	0 24 78 86 90 116 156 186 188 218 258 284 288 296 350 374	-2971082170490
STPT(10)	2066209319059832699	0 2 18 20 30 32 42 44 60 62	-2191795512254
SPT(16)	2066210284357738061	0 26 60 92 116 170 210 240 242 272 312 366 390 422 456 482	-1226497606892
TPT(14)	2066210650592016491	0 2 66 68 78 80 180 182 246 248 300 302 498 500	-860263328462
STPT(10)	2066210820832601921	0 2 30 32 78 80 126 128 156 158	-690022743032
SPT(16)	2066211728762879681	0 2 32 42 78 98 126 188 210 272 300 320 356 366 396 398	217907534728
SPT(16)	2066211868772056009	0 82 90 114 132 154 160 180 202 222 228 250 268 292 300 382	357916711056
SPT(16)	2066211930200151911	0 2 6 48 72 78 86 92 126 132 140 146 170 212 216 218	419344806958
STPT(10)	2066212066329652847	0 2 60 62 72 74 84 86 144 146	555474307894
SPT(16)	2066212096463648663	0 84 96 134 158 200 228 236 258 266 294 336 360 398 410 494	585608303710