The generator matrix

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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+390x^121+408x^122+8x^123+768x^124+198x^125+8x^126+102x^127+144x^128+4x^129+144x^130+6x^131+2x^138+4x^141

The gray image is a code over GF(3) with n=558, k=7 and d=363.
This code was found by Heurico 1.16 in 0.0898 seconds.