Prime p₀= 257954172516514637 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 30 36 36 28 6 26 6 28 36 36 30 14 (?)
a_n: 0 14 44 80 116 144 150 176 182 210 246 282 312 326
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: 326
Found by: scrap
db: batch=69, k=14, 14 30 36 36 28 6 26

SPT(14)	257954124712105121	0 60 80 122 126 150 192 200 242 266 270 312 332 392	-47804409516
SPT(14)	257954128531715939	0 60 72 98 140 144 180 182 218 222 264 290 302 362	-43984798698
SPT(14)	257954134570157887	0 12 16 42 52 54 60 136 142 144 154 180 184 196	-37946356750
SPT(14)	257954146126698677	0 56 66 74 84 96 132 194 230 242 252 260 270 326	-26389815960
SPT(14)	257954166912556273	0 24 70 106 108 136 174 190 228 256 258 294 340 364	-5603958364
TPT(12)	257954167836613271	0 2 6 8 18 20 78 80 126 128 168 170	-4679901366
TPT(12)	257954174585912687	0 2 42 44 120 122 150 152 192 194 210 212	2069398050
SPT(14)	257954184656353279	0 24 34 54 78 90 112 120 142 154 178 198 208 232	12139838642
SPT(14)	257954195291182043	0 24 30 38 54 86 96 98 108 140 156 164 170 194	22774667406
SPT(14)	257954209372982377	0 10 24 34 52 82 90 154 162 192 210 220 234 244	36856467740
SPT(14)	257954222895147341	0 8 30 36 56 66 68 138 140 150 170 176 198 206	50378632704