The generator matrix

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

generates a code of length 35 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+288x^61+552x^62+2080x^63+3834x^64+4284x^65+9012x^66+12864x^67+15282x^68+21930x^69+26646x^70+24822x^71+24250x^72+16944x^73+7146x^74+4506x^75+1932x^76+342x^77+156x^78+156x^79+60x^80+30x^81+30x^82

The gray image is a code over GF(3) with n=315, k=11 and d=183.
This code was found by Heurico 1.16 in 29.9 seconds.