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

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+492x^140+396x^141+1854x^143+1086x^144+3084x^146+1634x^147+4164x^149+2484x^150+4788x^152+2758x^153+6036x^155+2920x^156+5742x^158+2880x^159+5532x^161+2510x^162+3954x^164+1632x^165+2412x^167+906x^168+930x^170+312x^171+264x^173+130x^174+96x^176+30x^177+18x^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 97.8 seconds.