The generator matrix

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

generates a code of length 78 over Z3[X]/(X^2) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+486x^140+492x^141+1614x^143+1156x^144+3204x^146+1678x^147+4296x^149+2082x^150+5118x^152+2802x^153+5778x^155+3062x^156+5568x^158+2880x^159+5502x^161+2368x^162+4206x^164+1804x^165+2250x^167+876x^168+984x^170+340x^171+312x^173+96x^174+36x^176+42x^177+12x^179+2x^180+2x^183

The gray image is a linear code over GF(3) with n=234, k=10 and d=140.
This code was found by Heurico 1.16 in 156 seconds.