Prime p₀= 425443869911061709 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 14 28 78 8 16 14 16 8 78 28 14 10 (?)
a_n: 0 10 24 52 130 138 154 168 184 192 270 298 312 322
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: 322
Found by: desktop64
db: batch=70, k=14, 10 14 28 78 8 16 14

TPT(12)	425443733484123689	0 2 12 14 30 32 168 170 228 230 282 284	-136426938020
TPT(12)	425443783193424089	0 2 78 80 108 110 150 152 222 224 288 290	-86717637620
SPT(14)	425443829802401831	0 2 32 72 128 158 168 200 210 240 296 336 366 368	-40108659878
TPT(12)	425443838958189011	0 2 6 8 30 32 156 158 186 188 198 200	-30952872698
SPT(14)	425443851072003587	0 36 42 50 84 90 96 140 146 152 186 194 200 236	-18839058122
TPT(12)	425443851401459981	0 2 30 32 126 128 198 200 210 212 228 230	-18509601728
SPT(14)	425443885361750471	0 12 38 42 102 126 152 156 182 206 266 270 296 308	15450688762
SPT(14)	425443887932644183	0 18 40 66 78 108 126 148 166 196 208 234 256 274	18021582474
SPT(20)	425443909872764437	0 4 36 102 114 142 162 174 232 240 256 264 322 334 354 382 394 460 492 496	39961702728
SPT(16)	425443922828608721	0 32 50 56 98 102 156 182 186 212 266 270 312 318 336 368	52917547012
SPT(14)	425443928082907021	0 16 46 52 70 72 82 156 166 168 186 192 222 238	58171845312