Single-stranded DNA (ssDNA) has been used to sort single-wall carbon nanotubes (SWCNTs) by their chiralities. The DNA-based SWCNT sorting is proposed to be based on ordered structure formation of specific DNA sequences on particular SWCNT structures. This implies that DNA-based sorting method should be able to separate nanotube enantiomers. In this work, we show that indeed single chirality (n,m) species purified by the DNA method through aqueous two-phase extraction are also highly enriched in one of the (n,m) enantiomers. We will discuss physical mechanisms behind the enantiomer resolution, and DNA sequence code for the recognition of different (n,m) species.