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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+108x^115+46x^117+306x^118+100x^120+306x^121+486x^122+272x^123+3174x^124+972x^125+250x^126+162x^127+22x^129+108x^130+14x^132+60x^133+14x^135+72x^136+4x^138+72x^139+2x^141+6x^142+2x^144+2x^180

The gray image is a code over GF(3) with n=558, k=8 and d=345.
This code was found by Heurico 1.16 in 0.345 seconds.