The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+342x^60+294x^63+72x^66+18x^69+2x^81

The gray image is a code over GF(3) with n=279, k=6 and d=180.
This code was found by Heurico 1.16 in 6.83 seconds.