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

generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+504x^156+1146x^159+1302x^162+936x^165+768x^168+620x^171+528x^174+312x^177+284x^180+78x^183+42x^186+34x^189+6x^192

The gray image is a linear code over GF(3) with n=249, k=8 and d=156.
This code was found by Heurico 1.16 in 0.974 seconds.