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

generates a code of length 79 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+696x^153+486x^154+702x^155+1164x^156+432x^157+54x^158+916x^159+396x^160+54x^161+784x^162+288x^163+324x^164+222x^165+18x^166+18x^168+2x^186+4x^189

The gray image is a code over GF(3) with n=711, k=8 and d=459.
This code was found by Heurico 1.16 in 81.3 seconds.