The generator matrix

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

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+210x^147+168x^148+534x^149+1316x^150+1170x^151+2022x^152+3840x^153+2514x^154+3870x^155+5844x^156+3600x^157+5646x^158+7390x^159+4758x^160+4674x^161+5036x^162+1950x^163+1914x^164+1352x^165+276x^166+192x^167+250x^168+72x^169+72x^170+132x^171+48x^172+30x^173+62x^174+44x^177+6x^178+36x^180+6x^181+2x^183+6x^184+6x^187

The gray image is a code over GF(3) with n=711, k=10 and d=441.
This code was found by Heurico 1.16 in 11.7 seconds.