To get a Kuchipatchi, you must have a male Tamagotchi, its teenager form must be Oniotchi/Oniontchi or Yangu Kuchipatchi and its kindness points must be the highest. It also has to have had decent care so that it doesn't become a Universal instead.
You must have had Oniotchi/Yangu Kuchipatchi during the teenager stage. Its kindness points (flower) are slightly higher than its intelligence (pencil) or style (sparkle) points. That is how you got Kuchipatchi.
If you had raised its Intelligence a bit more, you would have gotten Minotchi instead, if you had raised its Style a bit more you would have gotten Tarakotchi.