The generator matrix

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

generates a code of length 78 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+462x^146+462x^147+522x^148+1956x^149+2778x^150+2196x^151+3402x^152+5132x^153+3312x^154+5250x^155+6846x^156+4770x^157+5304x^158+6324x^159+3150x^160+2868x^161+2068x^162+630x^163+636x^164+260x^165+276x^167+108x^168+144x^170+38x^171+78x^173+26x^174+24x^176+6x^177+12x^179+6x^180+2x^183

The gray image is a code over GF(3) with n=702, k=10 and d=438.
This code was found by Heurico 1.16 in 28.4 seconds.