The generator matrix

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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+110x^171+6x^173+286x^174+30x^175+54x^176+448x^177+90x^178+246x^179+894x^180+270x^181+378x^182+1500x^183+552x^184+738x^185+2182x^186+984x^187+1194x^188+2948x^189+1368x^190+1530x^191+3880x^192+1938x^193+1920x^194+4808x^195+2280x^196+1992x^197+4646x^198+2190x^199+1950x^200+4056x^201+1638x^202+1452x^203+2978x^204+984x^205+900x^206+1746x^207+534x^208+498x^209+1012x^210+216x^211+210x^212+560x^213+36x^214+42x^215+284x^216+12x^217+12x^218+190x^219+120x^222+88x^225+34x^228+26x^231+2x^234+4x^237+2x^240

The gray image is a linear code over GF(3) with n=294, k=10 and d=171.
This code was found by Heurico 1.16 in 96.6 seconds.