Prime p₀= 341407712679607919 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 28 2 24 24 106 20 106 24 24 2 28 20 (?)
a_n: 0 20 48 50 74 98 204 224 330 354 378 380 408 428
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: 428
Found by: Cruncher Pete
db: batch=70, k=14, 20 28 2 24 24 106 20

SPT(14)	341407633769076967	0 16 22 52 60 102 112 144 154 196 204 234 240 256	-78910530952
SPT(14)	341407641114638011	0 6 18 58 88 96 106 180 190 198 228 268 280 286	-71564969908
SPT(14)	341407643084986343	0 6 20 26 56 90 98 216 224 258 288 294 308 314	-69594621576
SPT(14)	341407655590578877	0 40 66 82 154 172 196 240 264 282 354 370 396 436	-57089029042
SPT(14)	341407682783472631	0 22 30 42 60 72 76 336 340 352 370 382 390 412	-29896135288
SPT(14)	341407697091468083	0 30 38 60 74 84 98 126 140 150 164 186 194 224	-15588139836
SPT(14)	341407728279796319	0 12 38 42 78 110 138 152 180 212 248 252 278 290	15600188400
TPT(12)	341407740654614111	0 2 18 20 30 32 78 80 90 92 126 128	27975006192
SPT(14)	341407756870582573	0 10 40 78 96 100 124 150 174 178 196 234 264 274	44190974654
SPT(16)	341407763788623671	0 6 66 86 96 110 128 132 206 210 228 242 252 272 332 338	51109015752
SPT(14)	341407768417277479	0 24 40 42 60 112 150 172 210 262 280 282 298 322	55737669560