The generator matrix

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

generates a code of length 24 over Z9[X]/(X^2+6,3X) who�s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+48x^47+174x^48+12x^51+2x^54+6x^56

The gray image is a code over GF(3) with n=216, k=5 and d=141.
This code was found by Heurico 1.16 in 0.00313 seconds.