Prime p₀= 2562760290788320829 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 40 2 6 16 20 114 16 114 20 16 6 2 40 50 (?)
a_n: 0 50 90 92 98 114 134 248 264 378 398 414 420 422 462 512
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: 512
Found by: JonS
db: batch=82, k=16, 50 40 2 6 16 20 114 16

SPT(16)	2562758616449718919	0 30 58 94 108 124 144 154 378 388 408 424 438 474 502 532	-1674338601910
STPT(10)	2562759283838827817	0 2 42 44 72 74 102 104 144 146	-1006949493012
SPT(16)	2562759474059894611	0 10 76 130 166 186 210 216 256 262 286 306 342 396 462 472	-816728426218
SPT(16)	2562759815833660511	0 18 98 116 122 182 228 246 272 290 336 396 402 420 500 518	-474954660318
STPT(10)	2562760034962413149	0 2 48 50 90 92 132 134 180 182	-255825907680
STPT(10)	2562760041430254221	0 2 78 80 108 110 138 140 216 218	-249358066608
STPT(10)	2562760428180861497	0 2 30 32 42 44 54 56 84 86	137392540668
STPT(10)	2562761440404005387	0 2 30 32 42 44 54 56 84 86	1149615684558
STPT(10)	2562761662937817569	0 2 48 50 90 92 132 134 180 182	1372149496740
SPT(16)	2562761753655010763	0 14 20 38 78 104 108 114 140 146 150 176 216 234 240 254	1462866689934
STPT(10)	2562761765492412899	0 2 18 20 30 32 42 44 60 62	1474704092070