The generator matrix

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

generates a code of length 62 over Z9[X]/(X^2+6,3X) 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 0.0891 seconds.