Prime p₀= 347831086714418819 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 72 18 12 14 16 104 16 14 12 18 72 12 (?)
a_n: 0 12 84 102 114 128 144 248 264 278 290 308 380 392
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: 392
Found by: desktop64
db: batch=70, k=14, 12 72 18 12 14 16 104

SPT(16)	347830997810990963	0 8 20 78 90 104 114 126 128 140 150 164 176 234 246 254	-88903427856
SPT(14)	347831045437947061	0 12 40 48 126 130 138 160 168 172 250 258 286 298	-41276471758
SPT(14)	347831054710304929	0 54 130 150 168 220 238 264 282 334 352 372 448 502	-32004113890
SPT(14)	347831068957381907	0 2 20 32 60 80 84 122 126 146 174 186 204 206	-17757036912
STPT(10)	347831070196997897	0 2 42 44 72 74 102 104 144 146	-16517420922
SPT(14)	347831083850028463	0 16 40 46 58 60 90 124 154 156 168 174 198 214	-2864390356
TPT(14)	347831093605447061	0 2 78 80 120 122 126 128 240 242 276 278 330 332	6891028242
SPT(14)	347831104557878323	0 28 70 114 120 144 160 198 214 238 244 288 330 358	17843459504
SPT(14)	347831110744340479	0 18 22 28 40 42 58 84 100 102 114 120 124 142	24029921660
SPT(14)	347831124748715669	0 12 68 78 92 102 140 180 218 228 242 252 308 320	38034296850
SPT(16)	347831174256822631	0 46 72 90 100 102 112 160 168 216 226 228 238 256 282 328	87542403812