Prime p₀= 347337488963578291 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 30 42 36 6 26 22 26 6 36 42 30 28 (?)
a_n: 0 28 58 100 136 142 168 190 216 222 258 300 330 358
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: 358
Found by: nenym
db: batch=70, k=14, 28 30 42 36 6 26 22

SPT(14)	347337428719667161	0 76 88 96 118 132 142 156 166 180 202 210 222 298	-60243911130
SPT(14)	347337432057311741	0 2 6 30 36 48 62 156 170 182 188 212 216 218	-56906266550
SPT(16)	347337452100278681	0 6 20 66 86 110 116 152 186 222 228 252 272 318 332 338	-36863299610
SPT(14)	347337457245236219	0 14 60 80 84 104 110 138 144 164 168 188 234 248	-31718342072
SPT(14)	347337470437523249	0 8 14 50 54 68 140 228 300 314 318 354 360 368	-18526055042
SPT(14)	347337488419537939	0 12 58 72 114 130 144 178 192 208 250 264 310 322	-544040352
TPT(12)	347337506271337871	0 2 78 80 90 92 126 128 210 212 288 290	17307759580
SPT(14)	347337526007359049	0 8 18 84 110 170 204 218 252 312 338 404 414 422	37043780758
TPT(12)	347337534004867421	0 2 30 32 36 38 96 98 156 158 240 242	45041289130
SPT(14)	347337543002662507	0 16 22 42 60 66 72 94 100 106 124 144 150 166	54039084216
SPT(14)	347337552857522179	0 24 72 120 148 172 184 198 210 234 262 310 358 382	63893943888