The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 2X 1 2X X 1 X 1 1 1 1 1 2X 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 0 1 1 1 2X 1 X 1 1 1 X 0 1 1 1 1 1 2X 1 1 1 1 X 2X 1 1 2X 1 1 2X 1 1 1 X 1 1 X 1 1 X 0 0 1 0 0 0 0 2X+1 X 2 1 2X X+1 1 X+1 1 1 2X+1 1 0 X X+1 X+2 2X 1 1 X X+2 2X+1 2X+1 2X+2 X+1 1 X+1 2 2X 2X+2 1 2X 2 2X 2 X+2 2X+2 2X 0 2X+1 X X+2 1 2X 1 X+2 2X+1 2X+1 1 1 X+1 2X 0 2X+2 0 1 1 2X 2X+1 2X+1 1 X 1 2X+2 1 2 X+2 1 2X+2 2X 2X+2 1 0 0 1 0 2 2X 1 0 0 1 0 0 0 2X+2 2X+1 2 2X 2X+1 X+2 X 1 X+2 X+1 X 1 X+2 2X+2 1 X X+2 2 X+1 1 2X+2 2X X 1 X+2 X+1 0 2 2X+2 1 2 2X X 1 1 2X X X 1 X 2X+1 X+2 2 1 2X 2X+1 X+1 2X+1 2X+1 2X 0 X+2 X+2 2 2X X+1 X+2 X+1 2 2 X+2 1 0 0 0 2 1 2X+1 2X+2 2X+2 1 2X+1 0 2X+2 0 X+2 X 1 X+1 0 0 0 1 1 2 2X+2 X+1 X 2X+2 2X+2 2X+1 1 2X 0 2 X 1 X 2 X+2 X+1 X+1 2 X 2X X+1 X+1 X+2 X+2 X 1 2X X+2 0 2X+1 X 2X+1 X+1 X+1 X 0 2X+2 2X+2 2 2 X 0 1 2X+2 0 2X 1 2X+2 X X+2 X+1 X+1 2X+2 2 0 X 1 2X+2 X+2 2X+1 0 2X 0 2X 2X+2 0 2X+2 X+1 0 1 1 2X+1 0 2X X+1 0 X 2X 2X+1 0 0 0 0 2X 0 0 0 0 0 X 2X 2X 2X X 2X X X 2X X X X X 0 0 2X 2X 2X 0 2X X X X 0 0 0 2X 2X X X 0 X 0 2X X X X X X X 0 0 X 2X X 0 0 0 0 X 0 2X 0 0 2X X X X 2X 0 X X 0 2X 2X 0 2X 2X 0 0 X 2X 0 2X 0 0 0 0 0 0 X X 2X 0 X 0 0 0 X 2X 2X 2X X X 0 0 X X 0 X 0 X 2X 0 X X 2X 0 2X X X 2X X 0 2X 2X X 0 X 2X X 0 2X 0 2X 2X X 0 0 0 2X 0 X 2X X X 0 2X 2X 2X 2X X 0 0 X 2X 0 2X 2X 0 0 2X 0 2X 0 0 2X 2X 0 2X generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+588x^153+2156x^156+4080x^159+5692x^162+6912x^165+8332x^168+8578x^171+8316x^174+6536x^177+4372x^180+2228x^183+904x^186+280x^189+36x^192+14x^195+8x^198+6x^201+4x^204+2x^207+2x^210+2x^213 The gray image is a linear code over GF(3) with n=255, k=10 and d=153. This code was found by Heurico 1.16 in 70.2 seconds.