Prime p₀= 87508773709586113 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 14 6 42 12 12 4 12 12 42 6 14 34 (?)
a_n: 0 34 48 54 96 108 120 124 136 148 190 196 210 244
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: 244
Found by: gaballus
db: batch=67, k=14, 34 14 6 42 12 12 4

SPT(14)	87508677790921423	0 18 78 88 100 108 138 280 310 318 330 340 400 418	-95918664690
SPT(14)	87508678021584839	0 32 42 78 104 134 140 252 258 288 314 350 360 392	-95688001274
SPT(14)	87508697077051531	0 12 52 66 88 100 102 106 108 120 142 156 196 208	-76632534582
TPT(12)	87508707598343321	0 2 6 8 66 68 78 80 90 92 138 140	-66111242792
SPT(14)	87508712842236143	0 6 20 86 98 104 108 146 150 156 168 234 248 254	-60867349970
SPT(14)	87508713580592669	0 18 32 68 72 128 150 212 234 290 294 330 344 362	-60128993444
SPT(14)	87508788617465249	0 14 30 42 74 110 114 140 144 180 212 224 240 254	14907879136
SPT(14)	87508797713173523	0 60 84 108 110 114 150 284 320 324 326 350 374 434	24003587410
SPT(14)	87508822126043807	0 26 140 152 156 194 230 276 312 350 354 366 480 506	48416457694
SPT(20)	87508831214676727	0 6 30 34 64 66 72 76 84 100 126 142 150 154 160 162 192 196 220 226	57505090614
SPT(14)	87508834236918851	0 18 92 98 108 116 126 152 162 170 180 186 260 278	60527332738