hˈɛnɪŋɡɚz bˈɛst ɹɪzˈʌlt ɪn ɐ mˈeɪdʒɚ tʃˈæmpiənʃˌɪp wʌz ɪnðə nˈaɪntiːnhˈʌndɹɪd nˈaɪnti fˈaɪv mˈæstɚz tˈʊɹnəmənt, ɪnwˌɪtʃ hiː ʃˈɛɹd ðə lˈiːd ˈæftɚ fˈɪfti fˈoːɹ hˈoʊlz bˌʌt klˈoʊzd wɪð ɐ dˌɪsɐpˈɔɪntɪŋ sˈɛvənti sˈɪks, lˈiːvɪŋ hˌɪm ɪn ɐ tˈaɪ fɔːɹ tˈɛnθ plˈeɪs.
Henninger's best result in a major championship was in the 1995 Masters Tournament, in which he shared the lead after 54 holes but closed with a disappointing 76, leaving him in a tie for 10th place.