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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+24x^84+54x^86+24x^87+486x^88+108x^89+18x^90+4x^93+6x^96+2x^99+2x^129

The gray image is a code over GF(3) with n=396, k=6 and d=252.
This code was found by Heurico 1.16 in 0.0231 seconds.