The generator matrix

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

generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+174x^154+324x^155+142x^156+690x^157+810x^158+278x^159+1062x^160+1098x^161+280x^162+1290x^163+1278x^164+286x^165+1086x^166+1302x^167+270x^168+1158x^169+1230x^170+284x^171+1134x^172+960x^173+272x^174+912x^175+750x^176+204x^177+678x^178+522x^179+62x^180+318x^181+276x^182+66x^183+174x^184+144x^185+22x^186+72x^187+48x^188+12x^189+6x^191+6x^192+2x^201

The gray image is a linear code over GF(3) with n=252, k=9 and d=154.
This code was found by Heurico 1.16 in 10.3 seconds.