The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X 2X  0 X+3 2X X+3 2X+6  0  6  0  6 X+3 2X  6 X+3 2X+6 2X  X X+6 2X+3  6  X 2X+6
 0  0  6  0  6  0  3  3  6  3  6  3  3  0  6  6  6  3  3  0  0  0  6  3
 0  0  0  6  3  6  6  3  3  3  0  6  3  0  6  0  6  6  0  3  3  3  6  0

generates a code of length 24 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+180x^44+16x^45+144x^47+1674x^48+144x^53+8x^54+18x^56+2x^72

The gray image is a code over GF(3) with n=216, k=7 and d=132.
This code was found by Heurico 1.16 in 22.4 seconds.