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

generates a code of length 79 over Z3[X]/(X^2) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+158x^141+162x^142+366x^143+1114x^144+642x^145+714x^146+2234x^147+1008x^148+1092x^149+3222x^150+1476x^151+1452x^152+3812x^153+1656x^154+1812x^155+4626x^156+1836x^157+2100x^158+5214x^159+2034x^160+1956x^161+4768x^162+1674x^163+1608x^164+3628x^165+1290x^166+1032x^167+2254x^168+822x^169+648x^170+1276x^171+342x^172+240x^173+416x^174+132x^175+96x^176+60x^177+42x^178+6x^179+18x^180+6x^181+4x^183

The gray image is a linear code over GF(3) with n=237, k=10 and d=141.
This code was found by Heurico 1.16 in 64.3 seconds.