My current favorite is their album Emigrants - which you can hear at Platforma.lv (listen for free).
One can also hear some of the group's music for free at their MySpace pages here.
Sesta Judze means "The Sixth Mile" or simply "Sixth Mile". Sestā Jūdze is the correct orthographic spelling in Latvian - pronounced Sess-tah You-dzeh with the emphasis always on the first syllable of each word .
Their album Kalendārs (video ad here) is available for download at Micrec.lv (payment required).
Downloadable songs (payment required) are found at Doremi.lv.
Sestā Jūdze consists of the band members Agris Gedrovics (Gedrovičs), Gatis Leitis, Modris Mikelsons (Miķelsons), Aldis Strazdins (Strazdiņš), Janis Misins (Misiņš) -- the Latvian orthography is in parentheses.
See also a sample YouTube video at Sestā Jūdze Smiltenē (Sesta Judze in Smiltene).