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 1 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+2 2X+2 X+1 X 2X+1 X+2 0 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 2X+1 X 2 X 1 2 2X+2 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 2X+1 X+2 2X 2X+1 2X X 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+120x^187+306x^188+202x^189+420x^190+438x^191+364x^192+438x^193+372x^194+264x^195+342x^196+318x^197+278x^198+354x^199+264x^200+174x^201+240x^202+252x^203+154x^204+168x^205+132x^206+74x^207+96x^208+150x^209+92x^210+108x^211+96x^212+42x^213+60x^214+42x^215+36x^216+48x^217+24x^218+12x^219+24x^220+18x^221+12x^223+12x^224+6x^225+6x^227+2x^240 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 1.12 seconds.