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

generates a code of length 78 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+276x^149+276x^150+108x^151+720x^152+118x^153+486x^154+1488x^155+58x^156+648x^157+1482x^158+126x^159+216x^160+192x^161+26x^162+72x^164+12x^165+96x^167+96x^168+24x^170+6x^171+24x^173+6x^177+2x^180+2x^210

The gray image is a code over GF(3) with n=702, k=8 and d=447.
This code was found by Heurico 1.16 in 89.5 seconds.