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

generates a code of length 71 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+136x^129+78x^131+336x^132+66x^133+222x^134+456x^135+324x^136+660x^137+1026x^138+1260x^139+1524x^140+2468x^141+2334x^142+1950x^143+2420x^144+1620x^145+1092x^146+504x^147+198x^148+174x^149+320x^150+30x^151+96x^152+188x^153+30x^155+78x^156+6x^158+32x^159+10x^162+16x^165+8x^168+12x^171+4x^174+2x^177+2x^186

The gray image is a code over GF(3) with n=639, k=9 and d=387.
This code was found by Heurico 1.16 in 2.69 seconds.