Prime p₀= 2807701326857598859 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 6 28 12 2 48 124 74 124 48 2 12 28 6 24 (?)
a_n: 0 24 30 58 70 72 120 244 318 442 490 492 504 532 538 562
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: 562
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 24 6 28 12 2 48 124 74

SPT(16)	2807700058376804219	0 2 14 48 90 98 132 150 212 230 264 272 314 348 360 362	-1268480794640
SPT(16)	2807700082723616291	0 32 80 110 126 128 170 228 260 318 360 362 378 408 456 488	-1244133982568
SPT(16)	2807700145152990869	0 8 14 20 42 68 84 110 132 158 174 200 222 228 234 242	-1181704607990
STPT(10)	2807700288380770931	0 2 30 32 78 80 126 128 156 158	-1038476827928
STPT(10)	2807700682226730539	0 2 18 20 30 32 42 44 60 62	-644630868320
SPT(16)	2807700930084701033	0 6 8 18 66 78 80 104 120 144 146 158 206 216 218 224	-396772897826
SPT(16)	2807701749310620983	0 36 86 90 126 174 240 266 318 344 410 458 494 498 548 584	422453022124
TPT(14)	2807701796043827297	0 2 60 62 102 104 180 182 192 194 234 236 294 296	469186228438
SPT(16)	2807702479555453847	0 44 54 72 86 92 122 182 204 264 294 300 314 332 342 386	1152697854988
STPT(10)	2807703330874481069	0 2 30 32 60 62 90 92 120 122	2004016882210
TPT(14)	2807703480930523367	0 2 294 296 360 362 414 416 504 506 540 542 570 572	2154072924508