Prime p₀= 580658857087163717 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 36 6 30 34 14 22 14 34 30 6 36 20 (?)
a_n: 0 20 56 62 92 126 140 162 176 210 240 246 282 302
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: 302
Found by: vladimir
db: batch=71, k=14, 20 36 6 30 34 14 22

SPT(14)	580658777100222791	0 6 110 168 180 210 278 288 356 386 398 456 560 566	-79986940926
SPT(14)	580658786305316869	0 10 12 28 40 52 78 82 108 120 132 148 150 160	-70781846848
SPT(14)	580658794166072933	0 36 54 110 114 120 156 188 224 230 234 290 308 344	-62921090784
SPT(16)	580658799440435671	0 16 46 72 76 106 138 148 180 190 222 252 256 282 312 328	-57646728046
SPT(14)	580658813698073711	0 6 12 42 80 98 110 138 150 168 206 236 242 248	-43389090006
SPT(14)	580658817756158083	0 28 70 88 90 138 144 154 160 208 210 228 270 298	-39331005634
TPT(14)	580658868572664071	0 2 36 38 78 80 126 128 168 170 180 182 246 248	11485500354
SPT(14)	580658875944068809	0 24 82 88 108 130 160 192 222 244 264 270 328 352	18856905092
TPT(12)	580658877567089537	0 2 30 32 54 56 60 62 84 86 144 146	20479925820
SPT(14)	580658890657038707	0 24 26 42 44 54 86 90 122 132 134 150 152 176	33569874990
TPT(12)	580658900640576851	0 2 18 20 30 32 36 38 60 62 120 122	43553413134