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 1 1 1 1 2X X 1 1 1 2X 1 1 1 1 X 0 1 X 1 0 X 1 1 0 1 1 1 0 1 1 1 1 2X 1 0 1 X 0 2X 1 1 2X 1 1 1 X 1 1 1 1 1 1 1 1 2X 1 2X 1 X 1 1 1 1 1 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 0 X+2 0 X+1 X+1 1 2X 1 0 2X 1 2X+1 X+2 0 2 1 1 X+1 2X 2 0 X X+2 X+1 1 2 2X X+1 1 X X+1 2X+1 2X 1 1 1 2 1 X 1 X X+2 1 X+2 2X+1 2X 2X 0 2X X 2X 2X+1 1 2X+1 X+2 1 2X 2X X+2 X 1 0 2X+2 1 2X 2X+2 2X X+1 X+1 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 X 2X+1 1 2X X+1 1 X+1 2X+1 X 0 X+2 1 2X+1 2 1 0 X 1 2X 1 1 2X+2 0 2X X 1 1 X+1 2 0 1 2X+2 2X+1 2X+1 X 2 X+2 1 2X+1 X+2 0 X 2X+1 2X X 1 X+1 X+1 2X+1 2X+1 2X 2X+2 0 1 1 X+1 1 2X+1 1 X X 1 2X+2 0 X+1 X X 2X+2 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 0 2X X X 2X X 2X 2X 2X X 0 2X 0 2X X 2X X 0 X 0 0 0 2X 0 0 X X X X 2X 2X 0 2X 0 0 2X 0 2X 0 X 0 2X 2X 0 X 0 2X X X 0 2X X 2X 2X 2X 0 0 X 2X 0 0 X 0 X 0 2X 2X 0 X 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 2X X 0 0 X 0 0 2X X 0 X X 0 2X 0 X 2X 0 0 X 2X X 0 X 2X X X 2X 2X 0 X 0 X 2X 2X X X X X X 0 2X 0 X X 2X X 2X X 0 2X 0 2X 2X 2X X X 0 0 2X X 2X X X 2X 0 0 2X 2X generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 185. Homogenous weight enumerator: w(x)=1x^0+318x^185+218x^186+684x^188+422x^189+786x^191+334x^192+642x^194+288x^195+438x^197+210x^198+438x^200+252x^201+318x^203+216x^204+354x^206+100x^207+204x^209+72x^210+72x^212+52x^213+84x^215+6x^216+30x^218+8x^219+6x^224+6x^225+2x^234 The gray image is a linear code over GF(3) with n=294, k=8 and d=185. This code was found by Heurico 1.16 in 1.31 seconds.