The generator matrix

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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+78x^150+174x^152+212x^153+18x^154+444x^155+338x^156+180x^157+972x^158+690x^159+720x^160+1704x^161+1602x^162+1440x^163+1956x^164+2002x^165+1440x^166+2010x^167+1100x^168+576x^169+1014x^170+184x^171+294x^173+146x^174+150x^176+90x^177+24x^179+50x^180+6x^182+16x^183+12x^186+6x^189+8x^192+10x^195+6x^198+10x^201

The gray image is a linear code over GF(3) with n=738, k=9 and d=450.
This code was found by Heurico 1.16 in 3.2 seconds.