Prime p₀= 167126423086502527 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 42 18 30 42 6 56 6 42 30 18 42 22 (?)
a_n: 0 22 64 82 112 154 160 216 222 264 294 312 354 376
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: 376
Found by: emoga
db: batch=67, k=14, 22 42 18 30 42 6 56

SPT(14)	167126350851106081	0 30 100 166 178 196 210 238 252 270 282 348 418 448	-72235396446
SPT(14)	167126353280648479	0 18 28 34 48 60 84 124 148 160 174 180 190 208	-69805854048
SPT(14)	167126379341913653	0 6 26 98 104 116 138 176 198 210 216 288 308 314	-43744588874
SPT(14)	167126395039336871	0 42 48 66 80 90 150 158 218 228 242 260 266 308	-28047165656
SPT(14)	167126406322390007	0 114 182 192 194 260 272 282 294 360 362 372 440 554	-16764112520
SPT(14)	167126416350949309	0 30 52 64 90 94 132 220 258 262 288 300 322 352	-6735553218
SPT(14)	167126432786415659	0 32 44 68 90 102 104 168 170 182 204 228 240 272	9699913132
SPT(14)	167126433218813287	0 6 42 66 90 94 126 160 192 196 220 244 280 286	10132310760
SPT(14)	167126439661333073	0 6 74 78 104 120 138 146 164 180 206 210 278 284	16574830546
SPT(14)	167126444247495541	0 28 40 76 118 120 180 226 286 288 330 366 378 406	21160993014
SPT(14)	167126446607725609	0 30 60 78 118 120 130 198 208 210 250 268 298 328	23521223082