The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  X  X
 0  6  0  0  0  0  0  0  0  0  0  0  0  6  3  3  6  3  6  6  6  6  6  6
 0  0  6  0  0  0  0  0  6  6  3  3  3  3  0  0  6  0  3  6  0  3  6  0
 0  0  0  6  0  0  0  6  3  0  6  3  3  3  0  6  6  6  6  3  3  6  0  0
 0  0  0  0  6  0  0  3  3  6  0  6  3  3  0  0  0  6  0  6  6  0  6  3
 0  0  0  0  0  6  0  3  6  3  6  0  3  3  3  3  0  3  0  6  0  6  3  6
 0  0  0  0  0  0  6  6  0  3  3  6  3  0  6  3  6  0  0  0  3  6  6  6

generates a code of length 24 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+172x^36+18x^38+162x^39+180x^41+306x^42+720x^44+282x^45+1440x^47+13446x^48+1440x^50+252x^51+576x^53+398x^54+162x^57+90x^60+38x^63

The gray image is a code over GF(3) with n=216, k=9 and d=108.
This code was found by Heurico 1.16 in 10.6 seconds.