The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+566x^60+1168x^63+648x^64+3156x^66+2592x^67+1458x^68+5470x^69+2592x^70+1196x^72+660x^75+154x^78+16x^81+2x^87+4x^90

The gray image is a code over GF(3) with n=306, k=9 and d=180.
This code was found by Heurico 1.16 in 45.2 seconds.