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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+46x^117+48x^118+186x^120+60x^121+1620x^122+66x^123+18x^124+70x^126+24x^127+28x^129+12x^130+6x^132+2x^183

The gray image is a code over GF(3) with n=549, k=7 and d=351.
This code was found by Heurico 1.16 in 0.119 seconds.