Prime p₀= 54692444624361253 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 56 18 10 20 22 2 22 20 10 18 56 10 (?)
a_n: 0 10 66 84 94 114 136 138 160 180 190 208 264 274
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: 274
Found by: UBT - Timbo
db: batch=65, k=14, 10 56 18 10 20 22 2

SPT(14)	54692400308223077	0 12 54 74 92 116 134 162 180 204 222 242 284 296	-44316138176
SPT(14)	54692417943343099	0 10 22 52 78 90 100 252 262 274 300 330 342 352	-26681018154
SPT(14)	54692430678104281	0 82 96 100 102 112 156 226 270 280 282 286 300 382	-13946256972
SPT(14)	54692431114583959	0 28 60 78 88 100 124 144 168 180 190 208 240 268	-13509777294
TPT(12)	54692439382584959	0 2 60 62 102 104 138 140 198 200 300 302	-5241776294
SPT(14)	54692440705559287	0 4 12 30 54 66 96 100 130 142 166 184 192 196	-3918801966
TPT(12)	54692457012667349	0 2 12 14 42 44 150 152 168 170 198 200	12388306096
TPT(12)	54692470946738921	0 2 18 20 48 50 60 62 156 158 168 170	26322377668
SPT(14)	54692471703067481	0 12 72 78 98 108 128 132 152 162 182 188 248 260	27078706228
STPT(10)	54692483980773971	0 2 48 50 168 170 288 290 336 338	39356412718
SPT(14)	54692510670693463	0 40 64 78 84 126 130 144 148 190 196 210 234 274	66046332210