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

generates a code of length 70 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+48x^136+78x^137+40x^138+168x^139+1638x^140+24x^141+72x^142+54x^143+14x^144+24x^145+12x^146+12x^148+2x^210

The gray image is a code over GF(3) with n=630, k=7 and d=408.
This code was found by Heurico 1.16 in 0.144 seconds.