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

generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+282x^154+402x^155+120x^156+540x^157+510x^158+158x^159+486x^160+534x^161+104x^162+390x^163+450x^164+102x^165+324x^166+282x^167+86x^168+282x^169+216x^170+54x^171+258x^172+210x^173+54x^174+168x^175+162x^176+26x^177+108x^178+132x^179+12x^180+42x^181+18x^182+12x^183+30x^184+6x^187

The gray image is a linear code over GF(3) with n=246, k=8 and d=154.
This code was found by Heurico 1.16 in 7.97 seconds.