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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+270x^112+298x^114+690x^115+90x^116+552x^117+1224x^118+540x^119+1752x^120+2700x^121+3024x^122+3210x^123+2616x^124+720x^125+324x^126+510x^127+174x^129+378x^130+126x^132+270x^133+86x^135+66x^136+36x^138+18x^139+6x^142+2x^168

The gray image is a code over GF(3) with n=549, k=9 and d=336.
This code was found by Heurico 1.16 in 2.11 seconds.