Prime p₀= 429566688248056981 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 12 4 6 38 6 76 6 38 6 4 12 30 (?)
a_n: 0 30 42 46 52 90 96 172 178 216 222 226 238 268
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: 268
Found by: [SG-2W]Kurzer
db: batch=70, k=14, 30 12 4 6 38 6 76

SPT(14)	429566625515340949	0 48 124 132 142 168 174 208 214 240 250 258 334 382	-62732716032
SPT(14)	429566640746520229	0 40 58 108 138 150 210 238 298 310 340 390 408 448	-47501536752
SPT(14)	429566644778242507	0 22 60 64 70 106 142 144 180 216 222 226 264 286	-43469814474
SPT(14)	429566649168497741	0 20 26 38 60 108 146 180 218 266 288 300 306 326	-39079559240
SPT(14)	429566671370480377	0 6 52 54 70 82 84 142 144 156 172 174 220 226	-16877576604
SPT(16)	429566672327228273	0 36 66 78 126 260 266 270 326 330 336 470 518 530 560 596	-15920828708
SPT(14)	429566693779870783	0 6 10 30 94 100 136 138 174 180 244 264 268 274	5531813802
SPT(14)	429566704136971717	0 12 16 72 112 120 142 150 172 180 220 276 280 292	15888914736
SPT(14)	429566709909038963	0 18 24 56 66 78 134 150 206 218 228 260 266 284	21660981982
SPT(14)	429566760938274457	0 10 16 24 40 46 66 130 150 156 172 180 186 196	72690217476
SPT(14)	429566769975295487	0 30 44 54 56 66 86 90 110 120 122 132 146 176	81727238506