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

generates a code of length 59 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+306x^108+36x^110+1140x^111+54x^112+288x^113+1330x^114+324x^115+1836x^116+1646x^117+5022x^118+3096x^119+1666x^120+432x^121+576x^122+898x^123+566x^126+304x^129+130x^132+26x^135+4x^138+2x^162

The gray image is a code over GF(3) with n=531, k=9 and d=324.
This code was found by Heurico 1.16 in 1.87 seconds.