The generator matrix

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

generates a code of length 83 over Z3[X]/(X^3) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+1212x^154+2412x^155+4012x^156+7638x^157+10452x^158+14538x^159+19728x^160+22386x^161+28920x^162+36798x^163+37302x^164+46136x^165+50190x^166+46536x^167+47314x^168+44688x^169+32748x^170+27936x^171+20610x^172+13500x^173+7312x^174+5100x^175+2022x^176+906x^177+528x^178+234x^179+50x^180+96x^181+48x^182+14x^183+36x^184+12x^185+8x^186+18x^188

The gray image is a linear code over GF(3) with n=747, k=12 and d=462.
This code was found by Heurico 1.16 in 682 seconds.