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

generates a code of length 40 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+108x^77+198x^78+350x^81+12x^84+54x^86+6x^93

The gray image is a code over GF(3) with n=360, k=6 and d=231.
This code was found by Heurico 1.16 in 0.0478 seconds.