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

generates a code of length 34 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+516x^60+108x^62+1352x^63+270x^64+432x^65+2628x^66+1404x^67+4644x^68+4182x^69+1242x^70+648x^71+1444x^72+648x^75+144x^78+18x^81+2x^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 0.91 seconds.