Prime p₀= 1588516621291448099 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 14 4 36 6 20 22 8 12 16 146 16 12 8 22 20 6 36 4 14 (?)
a_n: 0 14 18 54 60 80 102 110 122 138 284 300 312 320 342 362 368 404 408 422
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 422
derived by truncating larger tuple
Found by: emoga
db: batch=78, k=20, 14 4 36 6 20 22 8 12 16 146

STPT(10)	1588515763142567429	0 2 18 20 30 32 42 44 60 62	-858148880670
SPT(16)	1588515766862641241	0 6 48 78 122 132 158 198 260 300 326 336 380 410 452 458	-854428806858
SPT(16)	1588516143057059243	0 44 80 216 278 284 296 300 374 378 390 396 458 594 630 674	-478234388856
STPT(10)	1588516503276356177	0 2 30 32 42 44 54 56 84 86	-118015091922
STPT(10)	1588516505231617679	0 2 48 50 90 92 132 134 180 182	-116059830420
SPT(22)	1588516621291448039	0 60 74 78 114 120 140 162 170 182 198 344 360 372 380 402 422 428 464 468 482 542	-60
SPT(16)	1588516927424439673	0 6 66 84 90 118 154 160 174 180 216 244 250 268 328 334	306132991574
STPT(10)	1588517176860258647	0 2 30 32 72 74 114 116 144 146	555568810548
STPT(10)	1588517949413311949	0 2 48 50 90 92 132 134 180 182	1328121863850
SPT(16)	1588518281032322477	0 12 26 50 56 122 126 146 180 200 204 270 276 300 314 326	1659740874378
SPT(16)	1588518291551265637	0 34 40 66 84 96 112 124 252 264 280 292 310 336 342 376	1670259817538
TPT(14)	1588518326810078117	0 2 54 56 60 62 84 86 102 104 114 116 354 356	1705518630018