Prime p₀= 347338766614529423 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 26 4 30 24 6 6 8 6 6 24 30 4 26 (?)
a_n: 0 26 30 60 84 90 96 104 110 116 140 170 174 200
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: 200
Found by: [SG-2W]Kurzer
db: batch=70, k=14, 26 4 30 24 6 6 8

SPT(14)	347338663880484839	0 14 68 72 114 138 150 212 224 248 290 294 348 362	-102734044584
SPT(14)	347338683173346413	0 86 96 146 164 168 180 224 236 240 258 308 318 404	-83441183010
TPT(12)	347338740796079861	0 2 36 38 78 80 108 110 180 182 210 212	-25818449562
SPT(14)	347338744265173369	0 18 34 78 112 114 118 144 148 150 184 228 244 262	-22349356054
SPT(14)	347338763317134101	0 30 32 36 50 78 102 116 140 168 182 186 188 218	-3297395322
SPT(14)	347338764045852067	0 4 30 40 42 54 82 114 142 154 156 166 192 196	-2568677356
SPT(16)	347338793597075227	0 10 24 120 156 184 190 216 220 246 252 280 316 412 426 436	26982545804
TPT(12)	347338796169996677	0 2 114 116 252 254 300 302 312 314 324 326	29555467254
SPT(14)	347338833641800183	0 84 120 138 144 154 184 210 240 250 256 274 310 394	67027270760
TPT(12)	347338842777463001	0 2 36 38 168 170 180 182 210 212 246 248	76162933578
TPT(12)	347338848921344771	0 2 30 32 36 38 78 80 96 98 150 152	82306815348