The generator matrix

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

generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+144x^153+162x^154+216x^155+614x^156+222x^157+252x^158+610x^159+222x^160+288x^161+506x^162+216x^163+162x^164+524x^165+228x^166+156x^167+484x^168+120x^169+102x^170+282x^171+120x^172+126x^173+204x^174+66x^175+108x^176+128x^177+72x^178+24x^179+100x^180+24x^181+18x^182+26x^183+6x^184+6x^185+20x^186+2x^189

The gray image is a linear code over GF(3) with n=246, k=8 and d=153.
This code was found by Heurico 1.16 in 0.825 seconds.