Prime p₀= 6129463320188657 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 12 42 68 6 12 52 12 6 68 42 12 42 (?)
a_n: 0 42 54 96 164 170 182 234 246 252 320 362 374 416
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: 416
Found by: paulteo
db: batch=62, k=14, 42 12 42 68 6 12 52

SPT(14)	6129438785587703	0 20 56 60 68 78 108 218 248 258 266 270 306 326	-24534600954
SPT(14)	6129445572598921	0 18 28 52 70 72 88 180 196 198 216 240 250 268	-17747589736
SPT(16)	6129451906330897	0 16 30 36 40 42 84 96 100 112 154 156 160 166 180 196	-11413857760
TPT(12)	6129456586480229	0 2 30 32 78 80 90 92 132 134 162 164	-6733708428
SPT(14)	6129459559252597	0 42 52 66 106 124 126 220 222 240 280 294 304 346	-3760936060
TPT(12)	6129463083458987	0 2 24 26 30 32 42 44 60 62 72 74	-236729670
SPT(14)	6129463370016757	0 12 30 46 52 82 84 112 114 144 150 166 184 196	49828100
TPT(12)	6129466638045689	0 2 42 44 78 80 108 110 288 290 402 404	3317857032
SPT(14)	6129469004924453	0 6 14 48 84 128 140 144 156 200 236 270 278 284	5684735796
SPT(14)	6129484333457671	0 28 72 82 90 118 138 142 162 190 198 208 252 280	21013269014
SPT(14)	6129487734238009	0 10 18 58 64 70 78 94 102 108 114 154 162 172	24414049352