The generator matrix

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

generates a code of length 95 over Z3[X]/(X^3) who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+162x^178+162x^179+444x^180+954x^181+702x^182+2294x^183+2892x^184+1386x^185+3862x^186+5304x^187+2286x^188+6288x^189+5982x^190+2784x^191+6268x^192+5784x^193+1968x^194+3666x^195+2910x^196+624x^197+926x^198+456x^199+150x^200+166x^201+192x^202+66x^203+80x^204+78x^205+36x^206+34x^207+42x^208+18x^209+20x^210+24x^211+12x^212+4x^213+6x^214+6x^215+6x^221+2x^222+2x^225

The gray image is a linear code over GF(3) with n=855, k=10 and d=534.
This code was found by Heurico 1.16 in 16 seconds.