Prime p₀= 2864721373358926343 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 82 42 30 50 16 12 2 12 16 50 30 42 82 44 (?)
a_n: 0 44 126 168 198 248 264 276 278 290 306 356 386 428 510 554
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: 554
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 44 82 42 30 50 16 12 2

STPT(12)	2864720650627843211	0 2 66 68 96 98 150 152 180 182 246 248	-722731083132
SPT(16)	2864720966203400021	0 26 60 78 120 152 188 200 288 300 336 368 410 428 462 488	-407155526322
SPT(16)	2864720976309417431	0 6 50 72 98 108 152 170 258 276 320 330 356 378 422 428	-397049508912
SPT(16)	2864720986518800207	0 2 42 56 86 126 140 156 170 186 200 240 270 284 324 326	-386840126136
SPT(16)	2864721099540092593	0 16 34 36 54 94 124 136 138 150 180 220 238 240 258 274	-273818833750
STPT(10)	2864721362550637559	0 2 12 14 30 32 48 50 60 62	-10808288784
STPT(10)	2864721700960823477	0 2 54 56 72 74 90 92 144 146	327601897134
SPT(16)	2864721748195519327	0 30 42 84 100 120 180 190 294 304 364 384 400 442 454 484	374836592984
SPT(16)	2864721799989638783	0 6 56 80 104 126 138 150 164 176 188 210 234 258 308 314	426630712440
SPT(16)	2864721979946528063	0 36 38 66 98 108 116 120 164 168 176 186 218 246 248 284	606587601720
STPT(10)	2864722311057262067	0 2 24 26 42 44 60 62 84 86	937698335724