Prime p₀= 536701311935010113 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 12 6 4 18 8 22 8 18 4 6 12 8 (?)
a_n: 0 8 20 26 30 48 56 78 86 104 108 114 126 134
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: 134
Found by: Roadranner
db: batch=71, k=14, 8 12 6 4 18 8 22

SPT(14)	536701240426472557	0 10 16 42 60 76 112 174 210 226 244 270 276 286	-71508537556
SPT(14)	536701251826479731	0 12 26 36 66 68 78 80 90 92 122 132 146 158	-60108530382
SPT(14)	536701259729768027	0 6 12 30 44 104 114 182 192 252 266 284 290 296	-52205242086
SPT(14)	536701291909348667	0 2 24 30 72 104 110 126 132 164 206 212 234 236	-20025661446
SPT(14)	536701298460675353	0 20 36 56 78 90 98 168 176 188 210 230 246 266	-13474334760
SPT(14)	536701310732479309	0 18 42 48 54 60 70 102 112 118 124 130 154 172	-1202530804
SPT(14)	536701329807490733	0 6 44 90 114 138 156 158 176 200 224 270 308 314	17872480620
SPT(14)	536701346782656271	0 42 58 76 100 102 142 156 196 198 222 240 256 298	34847646158
SPT(14)	536701352273488469	0 18 42 72 74 78 114 308 344 348 350 380 404 422	40338478356
SPT(14)	536701355046020677	0 42 90 142 160 184 214 270 300 324 342 394 442 484	43111010564
SPT(14)	536701357471979647	0 22 52 100 112 154 156 160 162 204 216 264 294 316	45536969534