The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+760x^63+1830x^64+864x^65+2516x^66+3372x^67+1548x^68+2536x^69+2910x^70+810x^71+1516x^72+948x^73+6x^74+40x^75+6x^77+2x^78+12x^79+6x^80

The gray image is a code over GF(3) with n=306, k=9 and d=189.
This code was found by Heurico 1.16 in 10.5 seconds.