Prime p₀= 2556461819857048799 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 62 10 32 4 6 24 30 26 30 24 6 4 32 10 62 (?)
a_n: 0 62 72 104 108 114 138 168 194 224 248 254 258 290 300 362
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: 362
Found by: Penguin
db: batch=82, k=16, 62 10 32 4 6 24 30 26

STPT(10)	2556460326656275691	0 2 36 38 78 80 120 122 156 158	-1493200773108
SPT(16)	2556460553639167859	0 78 92 132 182 188 248 290 360 402 462 468 518 558 572 650	-1266217880940
STPT(10)	2556461366842868909	0 2 48 50 90 92 132 134 180 182	-453014179890
SPT(16)	2556461375678716307	0 86 114 126 174 180 182 200 336 354 356 362 410 422 450 536	-444178332492
STPT(10)	2556461396546086031	0 2 36 38 78 80 120 122 156 158	-423310962768
SPT(16)	2556461719300404731	0 36 90 92 98 102 182 212 216 246 326 330 336 338 392 428	-100556644068
SPT(16)	2556463086740945827	0 16 42 54 76 82 100 112 144 156 174 180 202 214 240 256	1266883897028
TPT(14)	2556463349483865401	0 2 30 32 126 128 150 152 186 188 240 242 348 350	1529626816602
STPT(10)	2556463419264935231	0 2 6 8 18 20 30 32 36 38	1599407886432
SPT(16)	2556463612248509099	0 8 14 68 80 90 108 120 152 164 182 192 204 258 264 272	1792391460300
SPT(16)	2556463723308083467	0 30 84 154 214 216 282 292 414 424 490 492 552 622 676 706	1903451034668