Prime p₀= 2568591018008440553 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 16 68 4 26 6 46 62 46 6 26 4 68 16 20 (?)
a_n: 0 20 36 104 108 134 140 186 248 294 300 326 330 398 414 434
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: 434
Found by: [SG-FC] hl
db: batch=82, k=16, 20 16 68 4 26 6 46 62

STPT(10)	2568589632709735301	0 2 6 8 18 20 30 32 36 38	-1385298705252
STPT(10)	2568589666226557637	0 2 42 44 72 74 102 104 144 146	-1351781882916
SPT(16)	2568589682031831371	0 18 30 60 86 132 138 156 242 260 266 312 338 368 380 398	-1335976609182
SPT(16)	2568590374578683089	0 22 84 90 108 112 172 214 318 360 420 424 442 448 510 532	-643429757464
SPT(16)	2568590552021289823	0 16 24 48 54 70 96 118 216 238 264 280 286 310 318 334	-465987150730
SPT(16)	2568590660926664903	0 6 48 74 104 126 144 188 216 260 278 300 330 356 398 404	-357081775650
SPT(16)	2568591053706372581	0 12 18 80 90 108 152 188 222 258 302 320 330 392 398 410	35697932028
SPT(16)	2568591288729140287	0 40 46 72 82 90 112 120 166 174 196 204 214 240 246 286	270720699734
STPT(10)	2568591331126914407	0 2 30 32 42 44 54 56 84 86	313118473854
SPT(16)	2568591404069532053	0 20 66 80 108 116 156 210 356 410 450 458 486 500 546 566	386061091500
TPT(14)	2568591659160053531	0 2 6 8 30 32 96 98 138 140 300 302 378 380	641151612978