The generator matrix

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

generates a code of length 81 over Z3[X]/(X^2) who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+264x^151+280x^153+600x^154+390x^156+744x^157+430x^159+732x^160+280x^162+510x^163+268x^165+498x^166+156x^168+432x^169+178x^171+306x^172+96x^174+174x^175+72x^177+66x^178+26x^180+24x^181+2x^183+24x^184+6x^186+2x^204

The gray image is a linear code over GF(3) with n=243, k=8 and d=151.
This code was found by Heurico 1.16 in 0.814 seconds.