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

generates a code of length 70 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+114x^137+188x^138+360x^141+4x^144+42x^146+8x^147+4x^153+6x^155+2x^156

The gray image is a code over GF(3) with n=630, k=6 and d=411.
This code was found by Heurico 1.16 in 4.39 seconds.