The generator matrix

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

generates a code of length 58 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+684x^110+992x^111+1818x^112+1968x^113+2242x^114+1782x^115+1854x^116+1758x^117+1464x^118+1608x^119+1092x^120+894x^121+840x^122+452x^123+180x^124+14x^126+12x^127+12x^128+10x^129+6x^130

The gray image is a code over GF(3) with n=522, k=9 and d=330.
This code was found by Heurico 1.16 in 0.745 seconds.