The generator matrix

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

generates a code of length 87 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+192x^168+1596x^170+522x^171+72x^172+1260x^173+498x^174+72x^175+378x^176+416x^177+18x^178+1176x^179+200x^180+126x^182+22x^183+4x^186+2x^189+2x^198+2x^201+2x^207

The gray image is a code over GF(3) with n=783, k=8 and d=504.
This code was found by Heurico 1.16 in 0.441 seconds.