Prime p₀= 509059358349261121 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 58 32 10 60 6 24 26 24 6 60 10 32 58 (?)
a_n: 0 58 90 100 160 166 190 216 240 246 306 316 348 406
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: 406
Found by: scrap
db: batch=71, k=14, 58 32 10 60 6 24 26

TPT(14)	509059333354989407	0 2 42 44 84 86 132 134 210 212 240 242 312 314	-24994271714
SPT(20)	509059337230715933	0 30 44 50 180 186 216 228 254 260 264 270 296 308 338 344 474 480 494 524	-21118545188
TPT(12)	509059337901081827	0 2 12 14 54 56 60 62 192 194 294 296	-20448179294
SPT(14)	509059348112674207	0 6 60 66 84 90 114 162 186 192 210 216 270 276	-10236586914
TPT(12)	509059348779319031	0 2 78 80 150 152 156 158 198 200 330 332	-9569942090
SPT(14)	509059350190035457	0 22 60 64 94 120 180 196 256 282 312 316 354 376	-8159225664
SPT(14)	509059381171643881	0 36 76 78 90 102 126 172 196 208 220 222 262 298	22822382760
SPT(14)	509059387177640071	0 6 28 100 142 178 198 220 240 276 318 390 412 418	28828378950
TPT(12)	509059414327796531	0 2 66 68 78 80 210 212 288 290 300 302	55978535410
SPT(14)	509059420832281667	0 12 20 90 144 174 182 234 242 272 326 396 404 416	62483020546
SPT(14)	509059439958657169	0 40 54 72 82 108 124 138 154 180 190 208 222 262	81609396048