The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X 2X  0 X+3 2X X+3 2X+6  0  6  0  6 X+3 2X X+3 2X X+6 2X+6  6 2X+6 X+6  6 2X+6  3 2X+3 X+6 X+3 X+6 X+3 X+6 X+6  0  0  6  6  0 X+3 2X 2X+6 2X 2X+6 2X  X  X  3 2X+3  3 2X+3  6 2X+3  X 2X 2X+6  3 X+3  3 X+6  3
 0  0  6  0  6  0  3  3  6  3  6  3  3  0  6  6  0  3  6  6  0  0  0  3  3  6  6  3  3  6  3  0  6  6  0  3  0  0  0  3  6  6  3  0  0  0  3  3  3  0  3  3  6  3  0  6  6  0
 0  0  0  6  3  6  6  3  3  6  0  3  3  0  0  3  6  6  6  6  3  3  3  0  0  0  6  0  0  3  6  3  6  3  6  0  0  3  0  0  0  6  3  6  0  6  6  3  0  3  6  6  3  3  3  0  6  6

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+56x^111+48x^112+192x^114+60x^115+1620x^116+32x^117+18x^118+74x^120+24x^121+48x^123+12x^124+2x^174

The gray image is a code over GF(3) with n=522, k=7 and d=333.
This code was found by Heurico 1.16 in 0.102 seconds.