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

generates a code of length 69 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+60x^139+6x^141+12x^142+2x^144

The gray image is a code over GF(3) with n=621, k=4 and d=417.
This code was found by Heurico 1.16 in 0.411 seconds.