We demonstrate intersting extension-torsion-inflation coupling in intrinsically twisted chiral tubes. In particular, we show that by tuning its intrinsic twist and the material constants, such tubes can show negative poison effect on being stretched. Similarly, such tubes can overwind initially when stretched - the same unusual behavior has been reported earlier when a DNA molecule is stretched. The article got published recently in the Journal of Elasticity and is available at the following link: http://link.springer.com/article/10.1007%2Fs10659-017-9623-8