The generator matrix

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

generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+96x^168+48x^169+174x^170+392x^171+336x^172+798x^173+876x^174+678x^175+1440x^176+1282x^177+1038x^178+2052x^179+1868x^180+1350x^181+3012x^182+2310x^183+1566x^184+3456x^185+2470x^186+1656x^187+3804x^188+2788x^189+1782x^190+3984x^191+2460x^192+1788x^193+3240x^194+2250x^195+1356x^196+2262x^197+1328x^198+924x^199+1206x^200+832x^201+372x^202+558x^203+386x^204+168x^205+240x^206+150x^207+36x^208+18x^209+82x^210+24x^211+44x^213+24x^216+22x^219+6x^222+10x^225+6x^228

The gray image is a linear code over GF(3) with n=282, k=10 and d=168.
This code was found by Heurico 1.16 in 78.5 seconds.