Prime p₀= 347336999348256769 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 64 20 12 70 30 2 30 70 12 20 64 24 (?)
a_n: 0 24 88 108 120 190 220 222 252 322 334 354 418 442
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: 442
Found by: nenym
db: batch=70, k=14, 24 64 20 12 70 30 2

SPT(14)	347336926893210011	0 6 66 80 132 140 146 192 198 206 258 272 332 338	-72455046758
SPT(14)	347336953302004409	0 14 20 44 72 98 104 198 204 230 258 282 288 302	-46046252360
TPT(12)	347336956104698867	0 2 84 86 114 116 150 152 234 236 264 266	-43243557902
SPT(14)	347336963177728207	0 4 6 22 34 46 82 84 120 132 144 160 162 166	-36170528562
SPT(14)	347336974107786913	0 28 70 76 90 106 138 148 180 196 210 216 258 286	-25240469856
SPT(14)	347336977973904029	0 12 20 42 44 72 80 114 122 150 152 174 182 194	-21374352740
SPT(14)	347337009913546423	0 70 96 114 144 148 196 198 246 250 280 298 324 394	10565289654
SPT(16)	347337014357111213	0 50 54 68 78 140 144 200 204 260 264 326 336 350 354 404	15008854444
SPT(14)	347337027145904077	0 34 46 52 60 66 72 214 220 226 234 240 252 286	27797647308
SPT(14)	347337039561523379	0 2 32 60 92 110 114 140 144 162 194 222 252 254	40213266610
TPT(12)	347337039978888917	0 2 24 26 72 74 84 86 144 146 150 152	40630632148