Prime p₀= 354339679397271949 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 22 20 6 34 8 22 8 34 6 20 22 30 (?)
a_n: 0 30 52 72 78 112 120 142 150 184 190 210 232 262
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: 262
Found by: Ralfy
db: batch=70, k=14, 30 22 20 6 34 8 22

SPT(14)	354339632341817827	0 12 60 172 202 250 264 280 294 342 372 484 532 544	-47055454122
SPT(14)	354339640953032113	0 10 18 60 70 78 100 198 220 228 238 280 288 298	-38444239836
SPT(14)	354339652531927691	0 30 56 90 126 150 158 180 188 212 248 282 308 338	-26865344258
TPT(12)	354339655827730007	0 2 12 14 84 86 162 164 204 206 210 212	-23569541942
SPT(14)	354339663032108333	0 20 60 66 90 150 156 158 164 224 248 254 294 314	-16365163616
SPT(16)	354339672908716073	0 20 36 90 96 104 134 200 204 270 300 308 314 368 384 404	-6488555876
SPT(14)	354339696488721253	0 60 76 100 136 144 150 154 160 168 204 228 244 304	17091449304
SPT(14)	354339718605747773	0 20 30 48 108 110 188 240 318 320 380 398 408 428	39208475824
SPT(14)	354339718690053491	0 2 30 42 62 80 128 132 180 198 218 230 258 260	39292781542
SPT(14)	354339723977455241	0 2 12 32 60 62 116 126 180 182 210 230 240 242	44580183292
SPT(16)	354339736340117971	0 72 76 102 112 130 150 156 172 178 198 216 226 252 256 328	56942846022