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

generates a code of length 70 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+62x^129+102x^130+252x^131+410x^132+330x^133+522x^134+640x^135+858x^136+1182x^137+1882x^138+2256x^139+2460x^140+2838x^141+2196x^142+1422x^143+672x^144+264x^145+198x^146+244x^147+132x^148+96x^149+130x^150+120x^151+90x^152+86x^153+30x^154+60x^155+68x^156+30x^157+36x^158+12x^159+2x^189

The gray image is a code over GF(3) with n=630, k=9 and d=387.
This code was found by Heurico 1.16 in 2.36 seconds.