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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+90x^118+108x^119+46x^120+120x^121+1602x^122+12x^123+54x^124+36x^125+20x^126+36x^127+36x^128+24x^130+2x^183

The gray image is a code over GF(3) with n=549, k=7 and d=354.
This code was found by Heurico 1.16 in 0.0931 seconds.