The generator matrix

 1  0  0  0  1  1  1  1  0  1 2X 2X  1  1  0  1  0  1 2X  1  1  1  1  X  X  1  1  1  1  1  0 2X  1  1  1  1  1  1  1 2X  1  1  X  1 2X  1  0  1  1  1  0  1  X  1  1  1  1  1  1  0  X  1  1  0  1  X  1  1  X  1  0  1  1 2X  1  1  1
 0  1  0  0  0  0 2X 2X 2X 2X  1  1 X+2 2X+2  1  1  1  0  1 2X+1  2 X+1  2  1  1  2 X+2 X+1  0  X  1 2X  X 2X+2 X+1 2X+1  1 X+2 X+2  1  X 2X+2  1  2  X 2X+2  1  1  1 X+1  1  1  1  1 X+1 X+1  1 2X  X  1  1 2X  X  X X+2  1  X 2X+1  1 X+1  1  0  X  1  2  X 2X
 0  0  1  0  0  1 2X+2 2X+1  1  2 2X+1 2X+2 X+2 X+2  2  X  0 X+2 2X  X X+1  2  1 2X+1 X+1 2X X+2  0  X 2X+1  2  1  2  X  0 X+1 2X+1  0 X+1 X+2 2X X+2 2X+1 X+1  1  0 2X 2X+1  1 2X+2  1 X+1  X X+2  2  X  1  1  X  2  2 2X+2 2X  X X+2 2X+2 2X+1 X+2  1  1  0 2X 2X+2  0  2  X  1
 0  0  0  1  1 X+1 2X+1  2  2  0 2X+2  1 2X X+2  2 X+1 X+2 2X+2 2X+1 2X+2 2X+2  1  X  0 X+1 2X+2 2X+1  1  1 2X  X 2X+2  X  X  X X+1  2 X+1 X+1  1  X 2X+2  2 2X+2 2X+1 2X+1  2 2X+1  2  2 X+2  0  2 2X 2X+1 X+1 2X+2  2 2X+2  X 2X+1 X+2  2  1  X  X  1  1 2X+2 X+1 X+2 2X+1 X+1 2X 2X+1  1  0
 0  0  0  0 2X 2X 2X  X  X 2X  X 2X  0  X  X 2X  X  X 2X  X 2X  0  X 2X  0  0  X  X  X 2X  0 2X  X  X 2X 2X 2X  X  0  X 2X  0  0  X 2X  0  0  0  X 2X 2X  X 2X 2X 2X  0  0  0 2X 2X  0  0  X  X 2X 2X  X 2X  0  X  0 2X  0  X 2X  0  X

generates a code of length 77 over Z3[X]/(X^2) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+648x^141+1740x^144+2584x^147+2888x^150+2726x^153+2820x^156+2300x^159+1948x^162+1202x^165+590x^168+200x^171+34x^174+2x^183

The gray image is a linear code over GF(3) with n=231, k=9 and d=141.
This code was found by Heurico 1.16 in 12.4 seconds.