Mezue ahịrịokwu na-esonụ: Afọ anọ ka e mesịrị, Heinz ruru eru maka ìgwè Luxembourg nke abụọ ya, dị ka onye dị afọ 23, na 2004 Summer Olympics na Athens. O nwetara oge ntinye B nke 26.41 (50 m freestyle) na 57.14 (100 m freestyle) site na European Long Course Meet na Luxembourg. Na 100 m freestyle, Heinz meriri Ágnes Mutina nke Hungary iji were ọnọdụ nke ise na okpomọkụ atọ na nke iri atọ na isii n'ozuzu site na 0.70 nke nke abụọ, na oge nke 57.40. N'ime
50 m freestyle, Heinz metụrụ Ragnheiður Ragnarsdóttir nke Iceland aka na mmeri nke ise site na otu narị nke otu (0.01), na-agbasa ihe ndekọ Luxembourg nke 26.35 sekọnd. Mmeri ya nke ọma ezughi iji mee ka ọ gafee ọkara ikpeazu, dịka Heinz tinyere nke iri atọ n'ime ndị na-egwu mmiri 75 n'isi ụtụtụ.