The generator matrix

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

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+366x^147+126x^148+288x^149+1298x^150+1800x^151+1710x^152+2982x^153+3708x^154+3708x^155+4214x^156+5832x^157+5346x^158+5384x^159+6426x^160+4932x^161+3474x^162+3420x^163+1476x^164+1030x^165+522x^166+36x^167+490x^168+36x^169+270x^171+130x^174+26x^177+12x^180+2x^183+2x^186+2x^189

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 12.1 seconds.