The generator matrix

 1  0  0  1  1  1  1  1  1  1  3  1  X  1  1  3  1  1 2X  1  3  1  1 2X+6  1  1  X  1  1  1  1 2X+3 X+3 2X  1  1  1  1  1  1  1 2X+6 2X+6  1  1  3  1 2X+6  1 2X+3  1  1  1 2X  1  1  1  1  1  1  1  1  1  1  1  1 2X+6  1 2X  1  1  1 X+3  1  1 2X  1  1
 0  1  0  0  6 2X+4 2X+4 X+8  1 X+2  1  2  1  6 X+5  1  0 X+2  1  8  1 X+7 X+6 2X 2X+4 X+1 2X X+6  2 X+6  7  1  1  1  2 2X+8 2X+4  1 2X+6 2X+3 X+8  1  1 X+3 2X+7  1 2X  1 X+3  6  7 2X+3  1  6 2X+6  5  4 2X+1 2X+4  0 2X+2 2X  8 X+8  8 X+4  1 2X+1  1 2X+6  X  6  1 2X  8 X+6 X+5 X+4
 0  0  1  1  2  2 2X+3  1  7 2X+3  7 X+2 X+8 X+3  4 2X+8 X+5  6 2X+6 2X+5  1 X+7 2X+1  1 2X X+2  1 X+7 2X+7 X+6  X X+8  4 2X 2X+3  5 2X+2 2X+7  5 2X+2 X+6  X X+4 X+6  4 2X+2  6 2X+7  2  1  3 X+7 X+5  1 X+7  0  4  X  2 2X+5 X+2 2X+1 X+2  0 2X+4 X+4 X+2 2X+7  2  8 2X+7 2X X+2 2X X+5  1 2X+4 X+5
 0  0  0 2X  3  6  0  6  0  3  3  3  6 X+6 2X+3 2X+3  X 2X 2X+6 2X+6 2X X+6  X  X 2X+6 2X 2X  3 X+6 2X  X X+6 X+3  X X+3 X+3  X 2X+6  3 2X+6  3 2X+3 2X  6 X+3  0  0  3 X+6  X  6 2X 2X+3 2X  X X+6 2X+6 X+3  X X+3 X+3  3  0 X+6  3  6  0  6 2X+3 2X+6 2X+3 X+6 2X+6 2X X+3  3 2X 2X+3

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

Homogenous weight enumerator: w(x)=1x^0+510x^145+732x^146+2048x^147+3492x^148+4980x^149+6882x^150+8556x^151+8994x^152+12480x^153+14142x^154+14418x^155+17184x^156+16782x^157+14970x^158+14962x^159+12222x^160+8574x^161+6602x^162+4194x^163+1866x^164+1106x^165+648x^166+240x^167+140x^168+96x^169+90x^170+54x^171+72x^172+48x^173+14x^174+30x^175+6x^176+6x^177+6x^178

The gray image is a code over GF(3) with n=702, k=11 and d=435.
This code was found by Heurico 1.16 in 73.5 seconds.