Prime p₀= 347830791194768759 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 8 58 2 100 30 50 30 100 2 58 8 12 (?)
a_n: 0 12 20 78 80 180 210 260 290 390 392 450 458 470
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: 470
Found by: desktop64
db: batch=70, k=14, 12 8 58 2 100 30 50

TPT(12)	347830739813112887	0 2 84 86 114 116 270 272 324 326 372 374	-51381655872
TPT(12)	347830740408181967	0 2 30 32 54 56 72 74 102 104 144 146	-50786586792
SPT(14)	347830765349200789	0 10 12 24 54 64 82 90 108 118 148 160 162 172	-25845567970
SPT(14)	347830767700276981	0 30 40 46 70 112 126 142 156 198 222 228 238 268	-23494491778
SPT(14)	347830776648638929	0 42 78 88 90 112 120 142 150 172 174 184 220 262	-14546129830
SPT(14)	347830777938719351	0 6 66 80 110 152 212 300 360 402 432 446 506 512	-13256049408
SPT(14)	347830799219628209	0 24 38 78 80 102 158 234 290 312 314 354 368 392	8024859450
TPT(12)	347830804474666619	0 2 12 14 30 32 150 152 168 170 198 200	13279897860
SPT(14)	347830811280303061	0 22 42 88 138 148 166 252 270 280 330 376 396 418	20085534302
SPT(14)	347830828963624561	0 16 22 90 130 178 192 196 210 258 298 366 372 388	37768855802
TPT(12)	347830837478062427	0 2 12 14 30 32 84 86 102 104 150 152	46283293668