Prime p₀= 2045123568126552349 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 30 8 18 18 12 10 2 10 12 18 18 8 30 34 (?)
a_n: 0 34 64 72 90 108 120 130 132 142 154 172 190 198 228 262
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: 262
Found by: [SG-2W]Kurzer
db: batch=80, k=16, 34 30 8 18 18 12 10 2

SPT(16)	2045122577064355003	0 4 40 66 76 124 160 166 174 180 216 264 274 300 336 340	-991062197346
SPT(16)	2045122685604650983	0 6 16 34 90 126 136 148 156 168 178 214 270 288 298 304	-882521901366
SPT(16)	2045122694851658293	0 76 88 126 160 190 214 270 274 330 354 384 418 456 468 544	-873274894056
TPT(14)	2045122899450875999	0 2 42 44 60 62 72 74 138 140 150 152 210 212	-668675676350
SPT(16)	2045123346560970517	0 10 30 46 52 66 100 102 154 156 190 204 210 226 246 256	-221565581832
SPT(16)	2045123479278687751	0 16 30 42 58 88 100 136 192 228 240 270 286 298 312 328	-88847864598
STPT(10)	2045123579953303151	0 2 30 32 78 80 126 128 156 158	11826750802
STPT(10)	2045123698080231017	0 2 12 14 42 44 72 74 84 86	129953678668
STPT(10)	2045124118371844397	0 2 30 32 42 44 54 56 84 86	550245292048
SPT(16)	2045124125400940879	0 18 22 40 72 88 94 130 162 198 204 220 252 270 274 292	557274388530
STPT(10)	2045124436410363851	0 2 6 8 48 50 90 92 96 98	868283811502