Prime p₀= 335589478795715671 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 52 38 18 4 8 22 26 22 8 4 18 38 52 (?)
a_n: 0 52 90 108 112 120 142 168 190 198 202 220 258 310
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: 310
Found by: Cruncher Pete
db: batch=70, k=14, 52 38 18 4 8 22 26

TPT(12)	335589400001555669	0 2 12 14 48 50 72 74 102 104 132 134	-78794160002
SPT(14)	335589411540452593	0 10 28 30 34 54 60 124 130 150 154 156 174 184	-67255263078
SPT(14)	335589420248201549	0 20 42 62 72 84 110 114 140 152 162 182 204 224	-58547514122
SPT(14)	335589435660375229	0 28 72 88 112 138 142 210 214 240 264 280 324 352	-43135340442
SPT(14)	335589472084270727	0 14 24 30 72 86 92 114 120 134 176 182 192 206	-6711444944
SPT(14)	335589474932139553	0 6 16 28 30 54 58 126 130 154 156 168 178 184	-3863576118
SPT(14)	335589483384065431	0 78 100 132 148 162 178 300 316 330 346 378 400 478	4588349760
SPT(14)	335589483580424987	0 2 36 42 44 60 72 104 116 132 134 140 174 176	4784709316
TPT(12)	335589500189785547	0 2 12 14 54 56 180 182 192 194 222 224	21394069876
SPT(14)	335589507243846589	0 24 42 54 82 100 160 192 252 270 298 310 328 352	28448130918
SPT(14)	335589509864430401	0 2 42 66 98 138 152 156 170 210 242 266 306 308	31068714730