The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+174x^163+276x^164+114x^165+498x^166+510x^167+132x^168+444x^169+492x^170+108x^171+438x^172+426x^173+112x^174+366x^175+330x^176+58x^177+246x^178+300x^179+70x^180+276x^181+264x^182+34x^183+246x^184+138x^185+58x^186+150x^187+96x^188+28x^189+66x^190+42x^191+8x^192+6x^193+30x^194+2x^195+6x^196+12x^197+2x^201+2x^204

The gray image is a linear code over GF(3) with n=261, k=8 and d=163.
This code was found by Heurico 1.16 in 1.63 seconds.