Prime p₀= 408428621613651467 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 18 24 10 26 6 4 6 26 10 24 18 2 (?)
a_n: 0 2 20 44 54 80 86 90 96 122 132 156 174 176
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: 176
Found by: Cruncher Pete
db: batch=70, k=14, 2 18 24 10 26 6 4

SPT(14)	408428575964449531	0 28 30 52 150 166 192 196 222 238 336 358 360 388	-45649201936
SPT(14)	408428578935102527	0 32 42 54 62 84 92 102 110 132 140 152 162 194	-42678548940
SPT(14)	408428580019608319	0 52 112 114 120 222 234 238 250 352 358 360 420 472	-41594043148
SPT(14)	408428586881869441	0 10 12 46 52 60 70 72 82 90 96 130 132 142	-34731782026
SPT(14)	408428588426869391	0 38 50 62 78 90 168 170 248 260 276 288 300 338	-33186782076
TPT(12)	408428592854353739	0 2 48 50 108 110 132 134 180 182 192 194	-28759297728
SPT(14)	408428624373893447	0 2 24 62 84 132 140 156 164 212 234 272 294 296	2760241980
SPT(14)	408428631410797121	0 36 38 42 60 80 138 230 288 308 326 330 332 368	9797145654
SPT(14)	408428634365088853	0 24 106 130 150 168 196 228 256 274 294 318 400 424	12751437386
TPT(12)	408428651726301317	0 2 12 14 60 62 150 152 270 272 282 284	30112649850
SPT(14)	408428674602366311	0 36 50 78 80 90 158 210 278 288 290 318 332 368	52988714844