Prime p₀= 2697051048497260657 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 8 10 24 14 10 32 22 32 10 14 24 10 8 34 (?)
a_n: 0 34 42 52 76 90 100 132 154 186 196 210 234 244 252 286
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: 286
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 34 8 10 24 14 10 32 22

SPT(16)	2697050394347997113	0 24 90 104 114 126 144 200 240 296 314 326 336 350 416 440	-654149263544
SPT(16)	2697050444682990829	0 4 42 60 102 124 130 210 214 294 300 322 364 382 420 424	-603814269828
STPT(10)	2697050459346863687	0 2 60 62 72 74 84 86 144 146	-589150396970
STPT(10)	2697050583160910159	0 2 78 80 120 122 162 164 240 242	-465336350498
TPT(14)	2697050621507333891	0 2 90 92 120 122 126 128 156 158 198 200 216 218	-426989926766
TPT(14)	2697050945294013167	0 2 30 32 60 62 192 194 210 212 222 224 270 272	-103203247490
SPT(16)	2697051560049087113	0 38 68 80 110 120 140 158 186 204 224 234 264 276 306 344	511551826456
STPT(10)	2697051593269514207	0 2 24 26 42 44 60 62 84 86	544772253550
SPT(16)	2697051648988844179	0 18 42 54 70 84 88 102 190 204 208 222 238 250 274 292	600491583522
SPT(16)	2697051747111258473	0 14 56 60 114 126 128 156 158 186 188 200 254 258 300 314	698613997816
SPT(16)	2697052047305784053	0 6 74 90 146 174 188 204 350 366 380 408 464 480 548 554	998808523396