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

generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+114x^156+78x^157+156x^158+342x^159+120x^160+84x^161+282x^162+90x^163+96x^164+164x^165+114x^166+36x^167+88x^168+24x^169+42x^170+22x^171+6x^172+30x^173+78x^174+24x^175+24x^176+56x^177+18x^178+18x^179+44x^180+12x^181+22x^183+2x^189

The gray image is a linear code over GF(3) with n=246, k=7 and d=156.
This code was found by Heurico 1.16 in 0.164 seconds.