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

generates a code of length 70 over Z9[X]/(X^2+3,3X) who�s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+72x^141+6x^147+2x^153

The gray image is a code over GF(3) with n=630, k=4 and d=423.
This code was found by Heurico 1.16 in 0.116 seconds.