Prime p₀= 347337027145904077 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 12 6 8 6 6 142 6 6 8 6 12 34 (?)
a_n: 0 34 46 52 60 66 72 214 220 226 234 240 252 286
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: 286
Found by: nenym
db: batch=70, k=14, 34 12 6 8 6 6 142

SPT(14)	347336963177728207	0 4 6 22 34 46 82 84 120 132 144 160 162 166	-63968175870
SPT(14)	347336974107786913	0 28 70 76 90 106 138 148 180 196 210 216 258 286	-53038117164
SPT(14)	347336977973904029	0 12 20 42 44 72 80 114 122 150 152 174 182 194	-49172000048
SPT(14)	347336999348256769	0 24 88 108 120 190 220 222 252 322 334 354 418 442	-27797647308
SPT(14)	347337009913546423	0 70 96 114 144 148 196 198 246 250 280 298 324 394	-17232357654
SPT(16)	347337014357111213	0 50 54 68 78 140 144 200 204 260 264 326 336 350 354 404	-12788792864
SPT(14)	347337039561523379	0 2 32 60 92 110 114 140 144 162 194 222 252 254	12415619302
TPT(12)	347337039978888917	0 2 24 26 72 74 84 86 144 146 150 152	12832984840
SPT(16)	347337078080013233	0 6 36 50 60 66 78 80 84 86 98 104 114 128 158 164	50934109156
SPT(14)	347337096346125737	0 62 120 132 152 192 194 330 332 372 392 404 462 524	69200221660
SPT(14)	347337102898616791	0 42 78 108 112 120 126 142 148 156 160 190 226 268	75752712714