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

generates a code of length 82 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+92x^153+402x^154+260x^156+744x^157+398x^159+1608x^160+1354x^162+3870x^163+2916x^164+2282x^165+3774x^166+310x^168+390x^169+128x^171+330x^172+134x^174+252x^175+82x^177+162x^178+52x^180+96x^181+6x^183+36x^184+2x^186+2x^234

The gray image is a code over GF(3) with n=738, k=9 and d=459.
This code was found by Heurico 1.16 in 2.85 seconds.