Prime p₀= 518724027959312821 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 58 12 24 14 6 40 6 14 24 12 58 42 (?)
a_n: 0 42 100 112 136 150 156 196 202 216 240 252 310 352
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: 352
Found by: scrap
db: batch=71, k=14, 42 58 12 24 14 6 40

SPT(14)	518723951405185349	0 42 54 110 224 252 270 272 290 318 432 488 500 542	-76554127472
SPT(14)	518723958215212033	0 6 30 34 36 40 70 84 114 118 120 124 148 154	-69744100788
SPT(14)	518723966147725321	0 48 70 76 90 126 130 168 172 208 222 228 250 298	-61811587500
TPT(12)	518724016960301987	0 2 42 44 72 74 90 92 102 104 162 164	-10999010834
SPT(14)	518724019175305771	0 18 70 112 178 262 282 436 456 540 606 648 700 718	-8784007050
SPT(14)	518724027162496357	0 24 34 82 100 112 160 174 222 234 252 300 310 334	-796816464
SPT(14)	518724049718915207	0 56 90 144 146 180 186 224 230 264 266 320 354 410	21759602386
SPT(14)	518724052426619203	0 6 16 66 76 106 118 156 168 198 208 258 268 274	24467306382
SPT(14)	518724069616851863	0 8 14 20 36 48 56 108 116 128 144 150 156 164	41657539042
SPT(14)	518724070477501639	0 10 18 48 108 112 130 132 150 154 214 244 252 262	42518188818
SPT(14)	518724086637626833	0 28 40 46 66 84 88 126 130 148 168 174 186 214	58678314012