Prime p₀= 1289504994868184623 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 82 50 16 2 10 14 64 14 10 2 16 50 82 6 (?)
a_n: 0 6 88 138 154 156 166 180 244 258 268 270 286 336 418 424
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: 424
Found by: Cruncher Pete
db: batch=77, k=16, 6 82 50 16 2 10 14 64

SPT(16)	1289503931657951147	0 12 90 92 102 162 180 210 242 272 290 350 360 362 440 452	-1063210233476
STPT(10)	1289504277955474001	0 2 36 38 78 80 120 122 156 158	-716912710622
SPT(16)	1289504433177486017	0 30 44 56 90 114 126 170 216 260 272 296 330 342 356 386	-561690698606
TPT(14)	1289504613919818299	0 2 12 14 48 50 132 134 222 224 252 254 258 260	-380948366324
SPT(16)	1289504628062135671	0 6 70 88 112 142 156 160 168 172 186 216 240 258 322 328	-366806048952
SPT(16)	1289504630308728679	0 42 48 82 94 114 160 172 180 192 238 258 270 304 310 352	-364559455944
STPT(10)	1289505030037013891	0 2 6 8 48 50 90 92 96 98	35168829268
SPT(13)	1289505230799046523	0 30 36 66 108 126 138 150 168 210 240 246 276	235930861900
TPT(14)	1289505435052138637	0 2 12 14 102 104 114 116 282 284 300 302 342 344	440183954014
TPT(14)	1289505659949101891	0 2 36 38 48 50 90 92 168 170 216 218 228 230	665080917268
SPT(16)	1289505877018053397	0 36 52 66 72 94 132 136 180 184 222 244 250 264 280 316	882149868774