Prime p₀= 6129463370016757 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 18 16 6 30 2 28 2 30 6 16 18 12 (?)
a_n: 0 12 30 46 52 82 84 112 114 144 150 166 184 196
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: 196
Found by: paulteo
db: batch=62, k=14, 12 18 16 6 30 2 28

SPT(14)	6129445572598921	0 18 28 52 70 72 88 180 196 198 216 240 250 268	-17797417836
SPT(16)	6129451906330897	0 16 30 36 40 42 84 96 100 112 154 156 160 166 180 196	-11463685860
TPT(12)	6129456586480229	0 2 30 32 78 80 90 92 132 134 162 164	-6783536528
SPT(14)	6129459559252597	0 42 52 66 106 124 126 220 222 240 280 294 304 346	-3810764160
TPT(12)	6129463083458987	0 2 24 26 30 32 42 44 60 62 72 74	-286557770
SPT(14)	6129463320188657	0 42 54 96 164 170 182 234 246 252 320 362 374 416	-49828100
TPT(12)	6129466638045689	0 2 42 44 78 80 108 110 288 290 402 404	3268028932
SPT(14)	6129469004924453	0 6 14 48 84 128 140 144 156 200 236 270 278 284	5634907696
SPT(14)	6129484333457671	0 28 72 82 90 118 138 142 162 190 198 208 252 280	20963440914
SPT(14)	6129487734238009	0 10 18 58 64 70 78 94 102 108 114 154 162 172	24364221252
SPT(14)	6129495539982677	0 14 32 56 80 104 120 146 162 186 210 234 252 266	32169965920