The generator matrix

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

generates a code of length 78 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+342x^147+540x^149+1652x^150+216x^151+1206x^152+1928x^153+324x^154+2142x^155+2874x^156+648x^157+2160x^158+2552x^159+270x^160+1170x^161+1286x^162+72x^164+172x^165+70x^168+22x^171+12x^174+6x^177+10x^180+2x^183+2x^186+2x^189+2x^195

The gray image is a code over GF(3) with n=702, k=9 and d=441.
This code was found by Heurico 1.16 in 1.61 seconds.