The generator matrix 1 0 0 1 1 1 1 X 1 1 2X 1 1 X 1 2X 0 0 1 1 1 1 1 1 1 1 2X 1 1 1 2X 1 X 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 X 1 1 1 X 1 1 0 X 1 1 1 1 1 1 2X 1 1 1 X 1 1 1 1 1 1 1 1 0 X 1 1 1 1 1 1 2X 1 X X 0 1 0 1 1 1 2X 1 1 1 1 0 1 0 0 0 2X+1 1 1 2X+2 2X+1 1 2 2 1 1 1 1 X 1 2X+1 X 2 2X+2 2X 2X X+2 1 2X+2 2X+2 2X 0 2X+1 1 0 X+1 1 1 X 2 0 1 2X+2 2X+2 X+1 2X 1 X+1 X+2 2X 0 2 X 1 2X+2 2X+1 1 1 X 2X 2X 2X 2X+2 X+2 1 2X 0 X+2 1 2 1 2X X 0 2X+1 2X+2 0 1 1 2X+1 2X 2 1 1 X 1 X+2 1 1 1 X+1 1 X+2 2X+1 2X+2 1 X+2 1 1 2X 0 0 1 1 2 2X+2 1 X+2 2X+1 2X 1 0 X+2 2X 2X+1 1 X+2 1 0 2X+2 0 X+2 2X 2X+2 X+1 1 2X+2 2 2X+1 X+2 1 2 2X 0 X X+1 X+1 1 2X 2X+1 X+1 2X 2X+1 2X 2X X+1 1 2 1 X+2 0 2X+2 2X+2 2X 2X+1 1 X+2 X+1 0 X+1 0 1 2X 2X 1 2 2X+1 X+2 1 2X+2 2X X 1 1 2X+2 2 2 2 2X X 2X 2X X X+1 X+2 2X+2 2 1 X+2 2 2X+1 X+1 0 X+1 X+2 X+2 2 2X 2X+1 0 0 0 2X 0 0 0 0 0 2X X 2X X X 2X 2X 2X 2X X X X 2X X 2X 0 0 2X 0 X 2X X X X 0 X 2X X 2X 0 X 0 0 2X 2X 2X X X 0 X X 0 X 0 X 0 2X X 0 2X X X X X 0 0 0 0 X 2X X 2X 0 2X X 2X 2X 2X 0 0 X 2X 0 X X 2X 2X 0 0 0 0 2X 2X 0 X 0 X 2X 0 2X 0 0 0 0 X X X 0 X 0 X 0 2X X 0 2X 2X 2X 2X 2X X 2X 0 2X 2X 2X 0 2X X X 2X 0 0 2X X 2X 0 0 0 0 X 2X 2X X 2X 2X 0 0 0 X X 0 2X X 2X X 2X 0 X X 2X 0 2X X X 0 X X 0 0 0 2X X X 0 2X 0 2X X 0 X 2X X 0 2X 0 0 2X X 0 2X 0 2X X 2X 2X 0 0 0 generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 186. Homogenous weight enumerator: w(x)=1x^0+158x^186+108x^187+126x^188+512x^189+222x^190+234x^191+564x^192+276x^193+300x^194+536x^195+192x^196+192x^197+468x^198+180x^199+216x^200+450x^201+120x^202+114x^203+286x^204+126x^205+78x^206+230x^207+108x^208+108x^209+210x^210+42x^211+48x^212+114x^213+24x^214+18x^215+72x^216+48x^217+18x^218+36x^219+12x^220+6x^221+2x^222+2x^225+2x^240+2x^243 The gray image is a linear code over GF(3) with n=297, k=8 and d=186. This code was found by Heurico 1.16 in 1.09 seconds.