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

generates a code of length 62 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+372x^117+18x^118+54x^119+678x^120+108x^121+486x^122+1044x^123+1188x^124+810x^125+1026x^126+144x^127+108x^128+216x^129+120x^132+116x^135+60x^138+6x^141+4x^144+2x^171

The gray image is a code over GF(3) with n=558, k=8 and d=351.
This code was found by Heurico 1.16 in 0.43 seconds.