Prime p₀= 257917537919616811 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 24 4 50 10 20 22 20 10 50 4 24 42 (?)
a_n: 0 42 66 70 120 130 150 172 192 202 252 256 280 322
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: 322
Found by: DoctorNow
db: batch=69, k=14, 42 24 4 50 10 20 22

SPT(14)	257917468966148231	0 38 50 60 78 122 140 168 186 230 248 258 270 308	-68953468580
SPT(14)	257917476517323443	0 20 60 90 116 164 276 308 420 468 494 524 564 584	-61402293368
SPT(14)	257917485185390413	0 34 48 76 88 118 148 186 216 246 258 286 300 334	-52734226398
TPT(12)	257917490677606049	0 2 42 44 90 92 162 164 402 404 420 422	-47242010762
SPT(14)	257917515824570843	0 20 24 48 54 68 168 236 336 350 356 380 384 404	-22095045968
TPT(12)	257917519941169061	0 2 30 32 138 140 156 158 306 308 336 338	-17978447750
SPT(14)	257917541918303149	0 4 18 24 70 72 78 94 100 102 148 154 168 172	3998686338
SPT(14)	257917558985536319	0 8 18 80 150 158 218 234 294 302 372 434 444 452	21065919508
SPT(14)	257917586755253291	0 60 80 128 138 140 152 228 240 242 252 300 320 380	48835636480
SPT(14)	257917591239038347	0 12 42 112 114 144 162 172 190 220 222 292 322 334	53319421536
TPT(12)	257917603237366769	0 2 12 14 30 32 102 104 132 134 180 182	65317749958