Prime p₀= 51683388747656629 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 34 12 14 60 34 38 34 60 14 12 34 18 (?)
a_n: 0 18 52 64 78 138 172 210 244 304 318 330 364 382
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: 382
Found by: ChelseaOilman
db: batch=65, k=14, 18 34 12 14 60 34 38

SPT(14)	51683338250264089	0 18 22 40 42 52 84 88 120 130 132 150 154 172	-50497392540
SPT(14)	51683344330677923	0 8 36 54 56 84 164 180 260 288 290 308 336 344	-44416978706
SPT(14)	51683349147500417	0 20 26 72 92 114 120 146 152 174 194 240 246 266	-39600156212
SPT(14)	51683353762740907	0 6 70 72 84 96 102 154 160 172 184 186 250 256	-34984915722
SPT(14)	51683357424172723	0 54 78 84 88 96 100 144 148 156 160 166 190 244	-31323483906
SPT(14)	51683382304345783	0 4 40 88 106 136 144 280 288 318 336 384 420 424	-6443310846
TPT(12)	51683391827258561	0 2 66 68 108 110 138 140 168 170 210 212	3079601932
STPT(10)	51683391827258627	0 2 42 44 72 74 102 104 144 146	3079601998
SPT(14)	51683401206218927	0 12 26 54 74 96 116 120 140 162 182 210 224 236	12458562298
SPT(14)	51683413704266639	0 44 54 60 72 80 110 114 144 152 164 170 180 224	24956610010
SPT(14)	51683419441607999	0 8 12 30 50 78 152 198 272 300 320 338 342 350	30693951370