The generator matrix

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

generates a code of length 78 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+582x^151+684x^152+426x^153+1182x^154+564x^155+490x^156+636x^157+444x^158+158x^159+468x^160+330x^161+126x^162+348x^163+72x^164+8x^165+12x^166+6x^167+2x^168+6x^172+6x^175+6x^176+2x^180+2x^186

The gray image is a code over GF(3) with n=702, k=8 and d=453.
This code was found by Heurico 1.16 in 0.777 seconds.