Prime p₀= 417940244991969613 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 12 14 96 4 6 92 6 4 96 14 12 34 (?)
a_n: 0 34 46 60 156 160 166 258 264 268 364 378 390 424
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: 424
Found by: nenym
db: batch=70, k=14, 34 12 14 96 4 6 92

SPT(14)	417940221796986131	0 48 126 150 152 158 200 258 300 306 308 332 410 458	-23194983482
SPT(14)	417940229939910679	0 40 42 70 82 94 102 130 138 150 162 190 192 232	-15052058934
SPT(14)	417940233658604143	0 18 36 48 54 78 100 144 166 190 196 208 226 244	-11333365470
SPT(14)	417940235525637719	0 12 44 48 68 90 104 108 122 144 164 168 200 212	-9466331894
TPT(12)	417940237435556039	0 2 12 14 78 80 120 122 180 182 282 284	-7556413574
SPT(16)	417940244161734397	0 6 10 12 52 70 102 120 136 154 186 204 244 246 250 256	-830235216
SPT(14)	417940257339665909	0 78 80 104 170 188 224 234 270 288 354 378 380 458	12347696296
SPT(14)	417940297794113761	0 16 18 28 42 46 72 76 102 106 120 130 132 148	52802144148
SPT(16)	417940300622690917	0 42 64 100 102 114 120 154 222 256 262 274 276 312 334 376	55630721304
SPT(14)	417940301360005337	0 42 56 90 96 162 174 182 194 260 266 300 314 356	56368035724
SPT(14)	417940310613148061	0 8 12 18 32 50 62 216 228 246 260 266 270 278	65621178448