Nylon strings on Tenor Banjo

My Banjo is Vega Style N short neck (17 Frets) Tenor Banjo. Scale Length is 20 Inch (50.8cm). I usually use John Pearse&Irish Tenor Banjo set (Bronze Wound Heavy Gauge: E.013 A.020w. D.030w. G.040w.) I am very happy with the sound of this set. However, this time I experiment to attach nylon string on this banjo. I try to find the commercially available nylon strings set for Irish Tenor banjo but I could not find any. So I utilize Ukulele string and Classic Guitar string. My nylon string set is as follows: E.022(1st string of GHS standard ukulele set) A .032(2nd string of Augustine Classic Blue) D.29w(4th string of Augustine Classic Blue) G.45w (4th string of Augustine Classic Blue). I feel the second and third string is little bit loose. I hope this information is useful for someone to try nylon string on Irish Tenor Banjo.