Prime p₀= 275565488123328031 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 64 6 60 20 66 34 66 20 60 6 64 6 (?)
a_n: 0 6 70 76 136 156 222 256 322 342 402 408 472 478
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: 478
Found by: scrap
db: batch=69, k=14, 6 64 6 60 20 66 34

SPT(14)	275565393563977729	0 24 28 70 72 90 112 150 172 190 192 234 238 262	-94559350302
TPT(12)	275565395956227149	0 2 12 14 48 50 192 194 222 224 258 260	-92167100882
TPT(12)	275565414174336149	0 2 12 14 42 44 108 110 138 140 288 290	-73948991882
SPT(14)	275565420983573173	0 6 36 70 76 88 118 138 168 180 186 220 250 256	-67139754858
TPT(12)	275565431224827551	0 2 36 38 78 80 108 110 150 152 168 170	-56898500480
SPT(14)	275565469093244959	0 4 12 40 72 94 114 250 270 292 324 352 360 364	-19030083072
SPT(20)	275565493043800369	0 48 54 90 102 112 124 130 132 174 238 280 282 288 300 310 322 358 364 412	4920472338
SPT(14)	275565495576160019	0 32 38 138 152 174 192 230 248 270 284 384 390 422	7452831988
TPT(12)	275565495887480399	0 2 12 14 18 20 30 32 102 104 108 110	7764152368
TPT(12)	275565501843720797	0 2 42 44 60 62 174 176 210 212 282 284	13720392766
SPT(14)	275565526999330111	0 12 66 82 108 112 148 150 186 190 216 232 286 298	38876002080