A space word that begins with T is trajectory.
words beginning with T and end with A:teatracheatundratogatubatiaratuna
telescope (Hubble)
Words beginning with T, containing X:TaxTaxidermyTaxiTexasTextileTextTextureTexThoraxToxicToxinToxicologistTrixieTrixTuxedoTux
Terra Firma (If that's what you mean by space word)
Some six letter words beginning with T are:tackletampertangletellertempertemplethirsttimbertissuetoilettonguetoppletorquetorridtrickytripletumulttundraturkeyturtle
Transformationalist
that toot
Internet is a word beginning with I and ending with T.
tantakententensiontendonteenthinthenthantintontalontokentoboggantreasontractiontrainteaspoontablespoontoxintaverntakentoughen
vacantvagrantvaliantvaletvariantvarmintvatvetvigilantviolentvomit
Jet Just
turbo