Prime p₀= 347830811280303061 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 20 46 50 10 18 86 18 10 50 46 20 22 (?)
a_n: 0 22 42 88 138 148 166 252 270 280 330 376 396 418
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: 418
Found by: desktop64
db: batch=70, k=14, 22 20 46 50 10 18 86

SPT(14)	347830767700276981	0 30 40 46 70 112 126 142 156 198 222 228 238 268	-43580026080
SPT(14)	347830776648638929	0 42 78 88 90 112 120 142 150 172 174 184 220 262	-34631664132
SPT(14)	347830777938719351	0 6 66 80 110 152 212 300 360 402 432 446 506 512	-33341583710
SPT(14)	347830791194768759	0 12 20 78 80 180 210 260 290 390 392 450 458 470	-20085534302
SPT(14)	347830799219628209	0 24 38 78 80 102 158 234 290 312 314 354 368 392	-12060674852
TPT(12)	347830804474666619	0 2 12 14 30 32 150 152 168 170 198 200	-6805636442
SPT(14)	347830828963624561	0 16 22 90 130 178 192 196 210 258 298 366 372 388	17683321500
TPT(12)	347830837478062427	0 2 12 14 30 32 84 86 102 104 150 152	26197759366
SPT(14)	347830849187986793	0 24 26 66 68 74 98 126 150 156 158 198 200 224	37907683732
SPT(14)	347830855039154107	0 4 24 40 46 64 66 190 192 210 216 232 252 256	43758851046
SPT(14)	347830855483772989	0 12 34 52 82 84 142 150 208 210 240 258 280 292	44203469928