The generator matrix

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

generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+420x^158+246x^159+732x^161+450x^162+768x^164+376x^165+678x^167+342x^168+504x^170+222x^171+390x^173+212x^174+318x^176+150x^177+294x^179+60x^180+150x^182+68x^183+78x^185+36x^186+18x^188+14x^189+24x^191+10x^192

The gray image is a linear code over GF(3) with n=252, k=8 and d=158.
This code was found by Heurico 1.16 in 298 seconds.