The generator matrix

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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+600x^118+1074x^119+2278x^120+1794x^121+1872x^122+1964x^123+1788x^124+1722x^125+1830x^126+1134x^127+1026x^128+978x^129+678x^130+456x^131+306x^132+150x^133+2x^135+6x^136+8x^138+6x^139+6x^140+4x^141

The gray image is a code over GF(3) with n=558, k=9 and d=354.
This code was found by Heurico 1.16 in 0.824 seconds.