The generator matrix 1 0 0 0 1 1 1 1 1 1 1 X 1 2X 1 1 X 1 1 1 1 2X 1 X 1 1 X 1 2X 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 2X 1 0 2X 1 2X 0 2X 1 1 0 1 0 2X 1 1 1 2X 1 1 1 1 X 1 1 1 1 1 1 1 0 1 1 1 2X 1 1 1 2X 1 1 1 1 X 1 1 1 1 1 1 2X 1 0 1 0 0 2X 0 X X 2X 2X 2X 0 0 X 2X+1 X+2 1 2X+2 X+1 2 2X+1 1 X+1 1 X+1 2 1 X+1 1 X+2 1 X+2 X+2 1 2 2X+2 1 2 1 2 0 1 2X+1 1 2X 0 2X+1 1 2X+2 2X 0 2X+2 X 1 1 2X+2 2 1 1 1 1 0 0 X 1 0 2X 2X X+1 1 1 2 2X 2X+2 2X+2 X+1 2 X 2X+1 X+1 X+1 X X+2 X+1 1 2X 1 X X X 0 0 X+1 2X+2 X+1 2X+2 2X 1 X+2 0 0 1 0 0 X 2X+1 2 2X+1 1 2X+2 1 2 1 2X 2 X+1 X+1 2X+2 2X X+2 1 X+2 2X+2 X+1 X 0 1 2X+1 X+1 X+2 1 X+2 0 X+2 X 2X 1 1 2X+1 2X 2X+1 2X+2 2X+1 X+2 1 X 1 2X+2 1 1 0 X 2 2 2X+1 2X+2 2X 2 X X+2 2X+2 2X 1 2 2 2X 2X+2 X 1 X+1 2X 0 0 X+1 2X+2 2 1 X+1 0 2X+1 1 X+1 2 X+1 1 2X 1 2 0 0 2X+2 2 X X+1 X+2 2X X 1 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X X+2 2 X+1 X+2 X+1 1 X X+1 2 X X+2 X+2 2X 2X+2 0 2X+2 1 2X 2 2X+1 2X+1 2X+2 X+1 2X 1 X X+2 2X+2 1 2X 2X+1 2X+2 1 1 X 2X+1 2X 2X 2X 2X+2 2X+2 1 X+2 X+1 0 1 X 2X 2 2X+2 2 0 1 0 2X+2 2X+1 X+1 2X X X+1 2X+2 2 X+1 0 2X+1 X X+2 0 2X+1 X+2 0 X+2 2X+2 1 X+1 2X+2 X 2 2X 1 X+2 X+2 2X+1 2X+1 X+1 X+2 2X+2 2X generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 187. Homogenous weight enumerator: w(x)=1x^0+186x^187+264x^188+68x^189+522x^190+522x^191+156x^192+504x^193+462x^194+104x^195+426x^196+492x^197+150x^198+360x^199+414x^200+82x^201+246x^202+222x^203+66x^204+192x^205+180x^206+34x^207+156x^208+162x^209+26x^210+150x^211+72x^212+28x^213+60x^214+48x^215+60x^217+54x^218+6x^219+30x^220+18x^221+18x^223+6x^224+6x^225+6x^229+2x^243 The gray image is a linear code over GF(3) with n=297, k=8 and d=187. This code was found by Heurico 1.16 in 1.15 seconds.