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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+246x^62+200x^63+108x^64+366x^65+1040x^66+432x^67+1320x^68+1672x^69+432x^70+234x^71+120x^72+174x^74+110x^75+84x^77+2x^78+6x^80+12x^81+2x^93

The gray image is a code over GF(3) with n=306, k=8 and d=186.
This code was found by Heurico 1.16 in 0.46 seconds.