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

generates a code of length 78 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+192x^145+210x^146+92x^147+414x^148+450x^149+258x^150+510x^151+960x^152+732x^153+1914x^154+2544x^155+2864x^156+3192x^157+2334x^158+954x^159+390x^160+276x^161+90x^162+234x^163+234x^164+66x^165+228x^166+144x^167+30x^168+138x^169+78x^170+10x^171+54x^172+54x^173+18x^175+6x^176+6x^178+4x^180+2x^219

The gray image is a code over GF(3) with n=702, k=9 and d=435.
This code was found by Heurico 1.16 in 2.65 seconds.