The generator matrix

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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+188x^153+180x^154+810x^155+1312x^156+1374x^157+2352x^158+3040x^159+2496x^160+4560x^161+5254x^162+4032x^163+6204x^164+5682x^165+4188x^166+5940x^167+4294x^168+2226x^169+2064x^170+1378x^171+336x^172+258x^173+250x^174+108x^175+48x^176+126x^177+78x^178+72x^179+68x^180+18x^181+36x^182+16x^183+18x^184+12x^185+16x^186+6x^187+2x^189+6x^190

The gray image is a linear code over GF(3) with n=738, k=10 and d=459.
This code was found by Heurico 1.16 in 12.3 seconds.