The generator matrix

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

generates a code of length 81 over Z3[X]/(X^2) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+288x^155+202x^156+360x^158+168x^159+276x^161+124x^162+204x^164+90x^165+102x^167+36x^168+54x^170+44x^171+78x^173+24x^174+54x^176+12x^177+30x^179+20x^180+6x^182+8x^183+6x^185

The gray image is a linear code over GF(3) with n=243, k=7 and d=155.
This code was found by Heurico 1.16 in 0.223 seconds.