The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+1236x^59+1864x^60+5040x^61+11208x^62+12912x^63+26004x^64+38670x^65+44438x^66+69912x^67+83346x^68+68104x^69+74052x^70+52314x^71+22804x^72+11952x^73+6042x^74+1198x^75+108x^76+108x^77+58x^78+36x^79+18x^80+10x^81+6x^82

The gray image is a code over GF(3) with n=306, k=12 and d=177.
This code was found by Heurico 1.16 in 213 seconds.