Prime p₀= 521459436777247627 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 54 6 102 10 12 6 30 14 48 22 48 14 30 6 12 10 102 6 54 (?)
a_n: 0 54 60 162 172 184 190 220 234 282 304 352 366 396 402 414 424 526 532 586
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: 586
derived by truncating larger tuple
Found by: Elmsfeuer
db: batch=51, k=20, 54 6 102 10 12 6 30 14 48 22

STPT(10)	521459296127740589	0 2 48 50 90 92 132 134 180 182	-140649507038
TPT(12)	521459314327393859	0 2 18 20 30 32 72 74 102 104 138 140	-122449853768
SPT(14)	521459319370397021	0 6 8 42 108 122 182 186 246 260 326 360 362 368	-117406850606
TPT(12)	521459365844649017	0 2 30 32 84 86 90 92 102 104 144 146	-70932598610
SPT(14)	521459430759831497	0 6 20 26 36 66 72 104 110 140 150 156 170 176	-6017416130
SPT(22)	521459436777247621	0 6 60 66 168 178 190 196 226 240 288 310 358 372 402 408 420 430 532 538 592 598	-6
SPT(14)	521459440380614551	0 60 90 100 142 166 186 322 342 366 408 418 448 508	3603366924
TPT(12)	521459443092884477	0 2 30 32 42 44 54 56 150 152 252 254	6315636850
SPT(14)	521459453593223399	0 78 102 134 144 150 158 234 242 248 258 290 314 392	16815975772
SPT(14)	521459460261793769	0 14 24 42 50 78 84 128 134 162 170 188 198 212	23484546142
SPT(14)	521459482843957169	0 14 78 80 98 110 114 248 252 264 282 284 348 362	46066709542
SPT(14)	521459500870735601	0 12 26 126 128 140 150 188 198 210 212 312 326 338	64093487974