The generator matrix

 1  0  1  1  1  1  1  0  1  1  3  1  1  1  1 2X  1  0  1  1  1  1  1  1  1 2X+3  1  1  1  6  1  1  1  1
 0  1  1  8  3 2X+1  2  1  0 X+4  1 X+2  0  8 X+4  1 2X+8  1 X+1  X 2X+3 2X+8 2X+3  5 X+7  1 X+4 2X+1  4  1  0 2X  3 2X+1
 0  0 2X  0  3  0 X+3 2X  3 X+3 X+6 2X 2X+6  0  X X+6 2X+3 2X+6  6  X  X X+3 2X  X  6  X  X 2X+3 X+6  6 2X+6 2X+6 X+6  X
 0  0  0  X X+3 X+6  3  6 2X 2X  6 2X 2X+3 2X+3  0 X+3  3 2X  0 2X  6  X X+3 2X+3 2X  0 X+3 X+6  3 2X  X  3  X 2X+3

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+564x^60+108x^61+1026x^62+2510x^63+1476x^64+4194x^65+7080x^66+4806x^67+10584x^68+11142x^69+4968x^70+5886x^71+3350x^72+306x^73+180x^74+660x^75+192x^78+16x^81

The gray image is a code over GF(3) with n=306, k=10 and d=180.
This code was found by Heurico 1.16 in 4.53 seconds.