Prime p₀= 496690419929513123 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 66 18 14 16 36 48 68 48 36 16 14 18 66 (?)
a_n: 0 66 84 98 114 150 198 266 314 350 366 380 398 464
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: 464
Found by: nenym
db: batch=70, k=14, 66 18 14 16 36 48 68

TPT(12)	496690332693758297	0 2 24 26 132 134 162 164 222 224 264 266	-87235754826
TPT(12)	496690382844821897	0 2 54 56 90 92 114 116 132 134 264 266	-37084691226
SPT(14)	496690383342453383	0 6 56 114 144 186 200 210 224 266 296 354 404 410	-36587059740
SPT(14)	496690398848815537	0 4 42 90 120 156 160 186 190 226 256 304 342 346	-21080697586
TPT(12)	496690408492522589	0 2 90 92 102 104 132 134 198 200 210 212	-11436990534
SPT(16)	496690417475046559	0 10 48 78 94 144 178 204 244 270 304 354 370 400 438 448	-2454466564
SPT(14)	496690431081291697	0 12 42 96 112 160 180 196 216 264 280 334 364 376	11151778574
SPT(14)	496690433986625993	0 30 38 50 56 60 78 86 104 108 114 126 134 164	14057112870
TPT(12)	496690438038168971	0 2 18 20 36 38 60 62 78 80 126 128	18108655848
SPT(16)	496690440433233121	0 18 22 40 60 70 78 102 106 130 138 148 168 186 190 208	20503719998
SPT(14)	496690446437270537	0 2 26 104 116 132 152 174 194 210 222 300 324 326	26507757414