The generator matrix

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

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+68x^153+234x^154+222x^155+336x^156+546x^157+288x^158+412x^159+504x^160+228x^161+382x^162+420x^163+132x^164+274x^165+372x^166+174x^167+206x^168+288x^169+168x^170+204x^171+204x^172+108x^173+140x^174+162x^175+78x^176+78x^177+90x^178+36x^179+56x^180+72x^181+24x^182+24x^183+18x^184+6x^186+6x^190

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 0.938 seconds.