Prime p₀= 578329870453601873 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 60 24 8 40 12 14 12 40 8 24 60 6 (?)
a_n: 0 6 66 90 98 138 150 164 176 216 224 248 308 314
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: 314
Found by: chad.burrus
db: batch=71, k=14, 6 60 24 8 40 12 14

SPT(14)	578329776423217601	0 12 26 30 80 90 96 116 122 132 182 186 200 212	-94030384272
SPT(14)	578329784078880131	0 48 50 60 62 72 78 110 116 126 128 138 140 188	-86374721742
SPT(14)	578329784898403397	0 2 6 14 30 60 146 150 236 266 282 290 294 296	-85555198476
SPT(14)	578329801236094331	0 6 8 20 26 42 48 140 146 162 168 180 182 188	-69217507542
SPT(16)	578329801282983361	0 10 22 36 78 82 108 166 192 250 276 280 322 336 348 358	-69170618512
SPT(14)	578329860744104839	0 34 88 102 130 142 168 184 210 222 250 264 318 352	-9709497034
SPT(14)	578329891513043933	0 14 110 120 126 158 180 224 246 278 284 294 390 404	21059442060
SPT(14)	578329946106281359	0 12 30 40 48 58 64 138 144 154 162 172 190 202	75652679486
SPT(14)	578329956035998849	0 4 18 30 34 48 60 88 100 114 118 130 144 148	85582396976
SPT(14)	578329964361268387	0 16 24 34 42 46 60 76 90 94 102 112 120 136	93907666514
SPT(14)	578329965385224343	0 46 54 76 124 130 264 286 420 426 474 496 504 550	94931622470