The generator matrix

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

generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+134x^159+60x^160+90x^161+232x^162+120x^163+114x^164+232x^165+90x^166+102x^167+210x^168+78x^169+36x^170+116x^171+30x^172+66x^173+86x^174+54x^175+42x^176+74x^177+24x^178+18x^179+70x^180+12x^181+18x^182+36x^183+18x^184+14x^186+4x^189+2x^192+4x^210

The gray image is a linear code over GF(3) with n=252, k=7 and d=159.
This code was found by Heurico 1.16 in 0.196 seconds.