The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 1 1 0 1 1 1 1 X 1 0 X 1 1 1 2X 1 1 1 1 0 1 1 1 1 0 1 X 1 1 2X 1 X 1 X 1 1 1 1 1 X 1 1 1 1 1 1 1 2X 1 1 X 1 1 1 1 1 0 2X 1 2X 0 1 1 1 1 1 1 1 1 1 1 0 X 2X X 1 0 1 1 X 1 1 0 1 0 0 0 1 2 1 2X+1 1 1 2 2X+2 X 1 2 1 2X+1 0 1 2X+2 X 1 X+1 2 0 2X 2 2X+1 2X 2X+2 1 1 X X+1 X 1 X+2 1 1 2 1 1 2X 2X+1 1 X 2X+2 X+1 2 2X 0 0 2X+2 X 0 2 2X+1 X 1 X+2 2X 1 X+2 X+1 1 1 2X+2 1 1 2X 2X 1 1 2X 2X+1 2 1 0 2X+1 0 2X X+2 1 1 1 1 2X+1 1 X 2 0 1 2X 0 0 1 1 2 2 X+2 X+1 2X 2X+1 X+2 0 2X+1 X+1 2X+2 X+2 X 2 2X 0 2X+1 1 1 1 0 2 1 X 0 X+1 2X+1 1 2X+2 2X+1 2 X+2 X 2 X+2 2X+1 2X+1 2X+1 2X+1 1 X X+2 2X 0 0 X+1 2 1 X X+2 2 X 1 2 2 2X+1 2X X+2 1 X+2 X 2 2X+1 X 2X X+2 2X+2 1 2X+2 X+1 1 X+2 2X+2 2X 2X+1 X+2 X X X+2 0 2X+1 2X+1 2X+1 2X+2 2X+1 1 1 1 2 2 0 0 0 2X 0 0 0 2X 0 0 0 2X X X X 2X X X 0 2X X 2X 2X X 0 X 0 2X X 2X 0 2X 0 2X 0 2X X 2X X X 2X 0 2X 0 2X 2X 0 0 2X X X X X 2X 0 X 0 0 2X 0 2X 0 0 X 2X X X 2X 2X 2X 2X 2X 2X 2X 0 X X 0 X X 0 X 2X X X 2X 0 X 0 2X X 0 0 X 0 0 0 0 X 0 2X 0 0 2X 0 0 X X X X 2X 2X 2X 2X 0 2X X 0 0 2X X 0 0 0 0 X X X X 2X 2X 2X X X 2X 2X X 0 X X 2X 2X 0 0 X X 0 0 X 0 X 0 X X 0 0 X X X X 0 2X X 0 0 0 0 2X 2X 0 0 2X 2X 2X 0 2X 2X X X 2X 0 2X 2X 2X 2X X 2X 2X 0 0 0 0 0 2X X 0 0 0 2X 2X 0 0 X 2X 0 2X 2X X 2X 0 X 2X 2X X 0 X 0 2X 0 0 X 0 2X X 2X 2X 0 X X X 2X 2X 2X 0 X 0 0 X X 2X 2X 2X X 0 2X X X X 0 X 0 2X X 2X 0 0 0 0 0 X X 0 X X 2X 0 2X X X X 0 2X 0 X 2X 2X 2X 0 0 2X 2X 0 generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 173. Homogenous weight enumerator: w(x)=1x^0+300x^173+188x^174+810x^176+586x^177+1350x^179+822x^180+1536x^182+768x^183+1884x^185+864x^186+1710x^188+948x^189+1746x^191+736x^192+1548x^194+670x^195+948x^197+482x^198+648x^200+262x^201+444x^203+112x^204+150x^206+64x^207+36x^209+22x^210+12x^212+12x^213+12x^216+4x^222+2x^225+4x^228+2x^240 The gray image is a linear code over GF(3) with n=282, k=9 and d=173. This code was found by Heurico 1.16 in 9.65 seconds.