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  X  X  1  X  1  1  1  X  X  X  X  X  3  1  1  1  1  1  1
 0  3  0  0  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  0  3  3  0  3  3  6  0  0  3  3  0  6  3  3  3  0  3  3  0  3  6  3  6  6  6  3  6  6  6  6  6  6
 0  0  3  0  6  3  6  3  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  0  3  6  3  3  6  0  6  0  3  3  0  6  0  6  6  3  6  6  0  6  3  6  3  3  0  0  0  0  3  3  6  0  3
 0  0  0  3  6  6  0  6  6  6  3  0  6  0  6  3  3  0  3  3  3  6  3  0  3  6  0  0  3  6  6  6  3  3  3  6  6  0  0  0  3  3  0  0  3  0  3  6  6  3  0  6  3  0  3  3  0  6  3  0  6  0

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+108x^121+162x^122+48x^123+324x^125+24x^126+54x^130+4x^132+2x^135+2x^159

The gray image is a code over GF(3) with n=558, k=6 and d=363.
This code was found by Heurico 1.16 in 0.32 seconds.