Prime p₀= 819605717435140501 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 12 30 4 14 30 42 40 56 22 8 22 56 40 42 30 14 4 30 12 (?)
a_n: 0 12 42 46 60 90 132 172 228 250 258 280 336 376 418 448 462 466 496 508
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: 508
derived by truncating larger tuple
Found by: [SG-2W]Kurzer
db: batch=73, k=20, 12 30 4 14 30 42 40 56 22 8

SPT(16)	819604224554852003	0 26 50 56 66 78 80 86 108 114 116 128 138 144 168 194	-1492880288498
STPT(10)	819604296502723001	0 2 6 8 48 50 90 92 96 98	-1420932417500
STPT(10)	819605005946550137	0 2 30 32 42 44 54 56 84 86	-711488590364
SPT(18)	819605053207606423	0 6 28 64 70 106 114 150 160 234 244 280 288 324 330 366 388 394	-664227534078
STPT(10)	819605261348232221	0 2 36 38 78 80 120 122 156 158	-456086908280
SPT(22)	819605717435140457	0 44 56 86 90 104 134 176 216 272 294 302 324 380 420 462 492 506 510 540 552 596	-44
TPT(16)	819606140043275951	0 2 36 38 78 80 120 122 156 158 168 170 210 212 216 218	422608135450
STPT(10)	819606140043275951	0 2 36 38 78 80 120 122 156 158	422608135450
SPT(16)	819606203236510247	0 32 42 60 116 120 132 176 216 260 272 276 332 350 360 392	485801369746
TPT(14)	819606331121509571	0 2 48 50 78 80 120 122 168 170 258 260 288 290	613686369070
STPT(10)	819606384111756149	0 2 18 20 30 32 42 44 60 62	666676615648
STPT(10)	819606647927069699	0 2 48 50 90 92 132 134 180 182	930491929198