Prime p₀= 518724052426619203 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 10 50 10 30 12 38 12 30 10 50 10 6 (?)
a_n: 0 6 16 66 76 106 118 156 168 198 208 258 268 274
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: 274
Found by: scrap
db: batch=71, k=14, 6 10 50 10 30 12 38

SPT(14)	518723966147725321	0 48 70 76 90 126 130 168 172 208 222 228 250 298	-86278893882
TPT(12)	518724016960301987	0 2 42 44 72 74 90 92 102 104 162 164	-35466317216
SPT(14)	518724019175305771	0 18 70 112 178 262 282 436 456 540 606 648 700 718	-33251313432
SPT(14)	518724027162496357	0 24 34 82 100 112 160 174 222 234 252 300 310 334	-25264122846
SPT(14)	518724027959312821	0 42 100 112 136 150 156 196 202 216 240 252 310 352	-24467306382
SPT(14)	518724049718915207	0 56 90 144 146 180 186 224 230 264 266 320 354 410	-2707703996
SPT(14)	518724069616851863	0 8 14 20 36 48 56 108 116 128 144 150 156 164	17190232660
SPT(14)	518724070477501639	0 10 18 48 108 112 130 132 150 154 214 244 252 262	18050882436
SPT(14)	518724086637626833	0 28 40 46 66 84 88 126 130 148 168 174 186 214	34211007630
SPT(14)	518724088263779929	0 10 84 102 114 124 142 180 198 208 220 238 312 322	35837160726
SPT(14)	518724099520782803	0 14 20 30 110 168 170 198 200 258 338 348 354 368	47094163600