Prime p₀= 2568590552021289823 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 8 24 6 16 26 22 98 22 26 16 6 24 8 16 (?)
a_n: 0 16 24 48 54 70 96 118 216 238 264 280 286 310 318 334
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: 334
Found by: [SG-FC] hl
db: batch=82, k=16, 16 8 24 6 16 26 22 98

SPT(16)	2568589564336167781	0 118 148 166 178 180 198 222 346 370 388 390 402 420 450 568	-987685122042
STPT(12)	2568589568369860577	0 2 24 26 84 86 90 92 150 152 174 176	-983651429246
STPT(10)	2568589632709735301	0 2 6 8 18 20 30 32 36 38	-919311554522
STPT(10)	2568589666226557637	0 2 42 44 72 74 102 104 144 146	-885794732186
SPT(16)	2568589682031831371	0 18 30 60 86 132 138 156 242 260 266 312 338 368 380 398	-869989458452
SPT(16)	2568590374578683089	0 22 84 90 108 112 172 214 318 360 420 424 442 448 510 532	-177442606734
SPT(16)	2568590660926664903	0 6 48 74 104 126 144 188 216 260 278 300 330 356 398 404	108905375080
SPT(16)	2568591018008440553	0 20 36 104 108 134 140 186 248 294 300 326 330 398 414 434	465987150730
SPT(16)	2568591053706372581	0 12 18 80 90 108 152 188 222 258 302 320 330 392 398 410	501685082758
SPT(16)	2568591288729140287	0 40 46 72 82 90 112 120 166 174 196 204 214 240 246 286	736707850464
STPT(10)	2568591331126914407	0 2 30 32 42 44 54 56 84 86	779105624584