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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+162x^115+312x^116+38x^117+366x^118+426x^119+384x^120+606x^121+2052x^122+738x^123+558x^124+414x^125+40x^126+120x^127+72x^128+12x^129+36x^130+30x^131+54x^133+84x^134+36x^136+6x^137+6x^139+6x^140+2x^171

The gray image is a code over GF(3) with n=549, k=8 and d=345.
This code was found by Heurico 1.16 in 2.84 seconds.