The generator matrix

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

generates a code of length 58 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+528x^106+1002x^107+2026x^108+4044x^109+5886x^110+6644x^111+10584x^112+11922x^113+13846x^114+19488x^115+19440x^116+17216x^117+20502x^118+16224x^119+10606x^120+8700x^121+4206x^122+2210x^123+1098x^124+450x^125+92x^126+132x^127+102x^128+78x^129+48x^130+54x^131+12x^132+6x^134

The gray image is a code over GF(3) with n=522, k=11 and d=318.
This code was found by Heurico 1.16 in 58.6 seconds.