The generator matrix

 1  0  1  1  1  1  1  1  3  1  0  1  1  1  1  6  1 X+3  1  1  1 2X+6  1  1  1  1  1  1  1  1 X+3  1 2X  1  1 X+6  1 X+3 2X+6  1  1  1  0  1  1  1  1  1 X+6  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  8  3  2  0  4  1  8  1 2X+4 X+4 2X+8 X+3  1 X+8  1 X+2 2X  1  1 X+2  X  4 2X+6 2X 2X+5 X+1  X  1 2X+7  1 2X+8 X+2  1 2X+7  1  1 X+3 X+5  8  1  3  X 2X+7 X+4 2X+4  1 X+1  7  2  4 X+5  2  8  1 2X+2  0 X+5 X+4
 0  0 2X  6 X+6 X+3 2X+6 2X+3  X 2X+6 2X+6  3 X+6  0  3 X+6  X 2X  0  3 X+3  6 2X X+6  3 2X+3  X  X  6 2X+6  6 X+3 2X 2X  6  X 2X  0 X+6  X X+3 2X+3 2X+3  6 2X+3 X+6  0 2X+3 2X+3 2X  6  0  0  3  X  3 2X+6 X+6 2X+3 X+6  X

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+258x^117+702x^118+696x^119+1156x^120+582x^121+504x^122+476x^123+552x^124+468x^125+430x^126+414x^127+114x^128+158x^129+6x^130+16x^132+6x^133+6x^135+6x^138+6x^139+4x^144

The gray image is a code over GF(3) with n=549, k=8 and d=351.
This code was found by Heurico 1.16 in 0.152 seconds.