The generator matrix

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

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+348x^59+508x^60+1860x^61+3396x^62+4766x^63+9252x^64+11016x^65+15022x^66+26358x^67+24312x^68+23878x^69+27324x^70+14880x^71+7554x^72+4014x^73+1854x^74+426x^75+192x^76+72x^77+82x^78+12x^79+12x^80+6x^81+2x^84

The gray image is a code over GF(3) with n=306, k=11 and d=177.
This code was found by Heurico 1.16 in 27.5 seconds.