Prime p₀= 167126350851106081 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 70 66 12 18 14 28 14 18 12 66 70 30 (?)
a_n: 0 30 100 166 178 196 210 238 252 270 282 348 418 448
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: 448
Found by: emoga
db: batch=67, k=14, 30 70 66 12 18 14 28

SPT(14)	167126300394118669	0 48 60 108 120 130 162 370 402 412 424 472 484 532	-50456987412
TPT(12)	167126314248803801	0 2 6 8 48 50 78 80 108 110 126 128	-36602302280
SPT(14)	167126322491714669	0 2 30 48 80 90 108 122 140 150 182 200 228 230	-28359391412
TPT(12)	167126328478293101	0 2 36 38 78 80 108 110 150 152 168 170	-22372812980
SPT(14)	167126329241811749	0 14 62 80 90 104 108 164 168 182 192 210 258 272	-21609294332
SPT(14)	167126330212313191	0 48 88 90 100 102 108 202 208 210 220 222 262 310	-20638792890
SPT(14)	167126353280648479	0 18 28 34 48 60 84 124 148 160 174 180 190 208	2429542398
SPT(14)	167126379341913653	0 6 26 98 104 116 138 176 198 210 216 288 308 314	28490807572
SPT(14)	167126395039336871	0 42 48 66 80 90 150 158 218 228 242 260 266 308	44188230790
SPT(14)	167126406322390007	0 114 182 192 194 260 272 282 294 360 362 372 440 554	55471283926
SPT(14)	167126416350949309	0 30 52 64 90 94 132 220 258 262 288 300 322 352	65499843228