Prime p₀= 457820582573041489 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 4 38 42 18 28 74 28 18 42 38 4 18 (?)
a_n: 0 18 22 60 102 120 148 222 250 268 310 348 352 370
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: 370
Found by: ladmo
db: batch=70, k=14, 18 4 38 42 18 28 74

SPT(14)	457820502819228347	0 14 44 54 80 84 96 110 122 126 152 162 192 206	-79753813142
SPT(14)	457820533172282351	0 68 78 80 110 162 168 260 266 318 348 350 360 428	-49400759138
SPT(14)	457820544307610131	0 18 72 76 82 138 148 180 190 246 252 256 310 328	-38265431358
STPT(14)	457820568790416659	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-13782624830
TPT(14)	457820568790416659	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-13782624830
SPT(14)	457820568790416659	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-13782624830
SPT(14)	457820590350527149	0 18 28 58 70 82 100 102 120 132 144 174 184 202	7777485660
SPT(14)	457820632592506789	0 22 34 48 130 132 138 154 160 162 244 258 270 292	50019465300
SPT(14)	457820638275682271	0 30 32 36 56 72 90 128 146 162 182 186 188 218	55702640782
TPT(14)	457820638544205551	0 2 30 32 60 62 66 68 138 140 156 158 168 170	55971164062
SPT(14)	457820653210002331	0 22 36 82 90 130 172 456 498 538 546 592 606 628	70636960842