The generator matrix

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

generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+58x^162+6x^164+176x^165+24x^166+90x^167+312x^168+162x^169+228x^170+378x^171+528x^172+570x^173+408x^174+954x^175+1074x^176+472x^177+1656x^178+1992x^179+504x^180+2382x^181+2874x^182+500x^183+3540x^184+3774x^185+552x^186+4386x^187+4362x^188+472x^189+4092x^190+4182x^191+444x^192+3504x^193+3204x^194+458x^195+2820x^196+2226x^197+404x^198+1332x^199+1080x^200+350x^201+558x^202+438x^203+294x^204+210x^205+102x^206+276x^207+90x^208+36x^209+184x^210+6x^211+6x^212+150x^213+84x^216+40x^219+28x^222+10x^225+4x^228+2x^231

The gray image is a linear code over GF(3) with n=282, k=10 and d=162.
This code was found by Heurico 1.16 in 90.9 seconds.