Prime p₀= 457820632592506789 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 12 14 82 2 6 16 6 2 82 14 12 22 (?)
a_n: 0 22 34 48 130 132 138 154 160 162 244 258 270 292
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 292
Found by: ladmo
db: batch=70, k=14, 22 12 14 82 2 6 16

SPT(14)	457820544307610131	0 18 72 76 82 138 148 180 190 246 252 256 310 328	-88284896658
SPT(14)	457820568790416659	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-63802090130
STPT(14)	457820568790416659	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-63802090130
TPT(14)	457820568790416659	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-63802090130
SPT(14)	457820582573041489	0 18 22 60 102 120 148 222 250 268 310 348 352 370	-50019465300
SPT(14)	457820590350527149	0 18 28 58 70 82 100 102 120 132 144 174 184 202	-42241979640
SPT(14)	457820638275682271	0 30 32 36 56 72 90 128 146 162 182 186 188 218	5683175482
TPT(14)	457820638544205551	0 2 30 32 60 62 66 68 138 140 156 158 168 170	5951698762
SPT(14)	457820653210002331	0 22 36 82 90 130 172 456 498 538 546 592 606 628	20617495542
SPT(16)	457820671557591379	0 30 108 118 130 174 220 232 240 252 298 342 354 364 442 472	38965084590
SPT(14)	457820683411014263	0 6 54 116 140 146 156 158 168 174 198 260 308 314	50818507474