The generator matrix

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

generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+144x^167+292x^168+420x^169+1032x^170+1234x^171+1152x^172+2436x^173+2330x^174+1848x^175+4410x^176+3618x^177+2688x^178+6348x^179+4844x^180+3852x^181+8376x^182+6914x^183+4566x^184+10362x^185+8084x^186+5712x^187+11148x^188+8432x^189+5484x^190+11196x^191+8650x^192+5064x^193+9264x^194+6530x^195+3990x^196+6846x^197+4136x^198+2496x^199+4110x^200+2432x^201+1272x^202+2142x^203+1056x^204+624x^205+708x^206+320x^207+138x^208+174x^209+130x^210+48x^211+30x^212+22x^213+12x^214+6x^216+6x^218+8x^219+6x^225+2x^228+2x^234

The gray image is a linear code over GF(3) with n=282, k=11 and d=167.
This code was found by Heurico 1.16 in 797 seconds.