Prime p₀= 335589474932139553 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 10 12 2 24 4 68 4 24 2 12 10 6 (?)
a_n: 0 6 16 28 30 54 58 126 130 154 156 168 178 184
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: 184
Found by: Cruncher Pete
db: batch=70, k=14, 6 10 12 2 24 4 68

TPT(12)	335589377207013689	0 2 42 44 48 50 138 140 258 260 342 344	-97725125864
TPT(12)	335589400001555669	0 2 12 14 48 50 72 74 102 104 132 134	-74930583884
SPT(14)	335589411540452593	0 10 28 30 34 54 60 124 130 150 154 156 174 184	-63391686960
SPT(14)	335589420248201549	0 20 42 62 72 84 110 114 140 152 162 182 204 224	-54683938004
SPT(14)	335589435660375229	0 28 72 88 112 138 142 210 214 240 264 280 324 352	-39271764324
SPT(14)	335589472084270727	0 14 24 30 72 86 92 114 120 134 176 182 192 206	-2847868826
SPT(14)	335589478795715671	0 52 90 108 112 120 142 168 190 198 202 220 258 310	3863576118
SPT(14)	335589483384065431	0 78 100 132 148 162 178 300 316 330 346 378 400 478	8451925878
SPT(14)	335589483580424987	0 2 36 42 44 60 72 104 116 132 134 140 174 176	8648285434
TPT(12)	335589500189785547	0 2 12 14 54 56 180 182 192 194 222 224	25257645994
SPT(14)	335589507243846589	0 24 42 54 82 100 160 192 252 270 298 310 328 352	32311707036