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

generates a code of length 79 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+154x^147+108x^148+246x^149+610x^150+222x^151+354x^152+860x^153+792x^154+888x^155+1898x^156+2172x^157+2964x^158+2686x^159+2094x^160+990x^161+986x^162+180x^163+96x^164+394x^165+132x^166+120x^167+198x^168+66x^169+108x^170+154x^171+18x^172+42x^173+38x^174+36x^175+18x^176+34x^177+12x^178+6x^179+4x^180+2x^216

The gray image is a code over GF(3) with n=711, k=9 and d=441.
This code was found by Heurico 1.16 in 2.74 seconds.