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

generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+192x^146+142x^147+348x^149+150x^150+648x^152+54x^153+2916x^154+1362x^155+270x^156+150x^158+48x^159+2x^162+66x^164+150x^167+54x^168+6x^171+2x^228

The gray image is a code over GF(3) with n=693, k=8 and d=438.
This code was found by Heurico 1.16 in 85.4 seconds.