The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 1 X 1 X 1 1 X 1 0 1 1 1 1 X 1 0 1 1 1 1 0 1 1 X 1 1 1 1 2X 1 1 1 X 1 1 0 1 1 2X 0 0 1 1 1 2X 1 1 1 1 0 1 1 1 1 1 2X 1 1 1 1 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 1 0 X+2 1 1 0 0 2X+1 1 2 1 2X+2 2X+2 2 2X 2X 0 1 X+1 X+1 X 1 2X X 2X+2 1 X+2 2X+1 2X 2X 1 2X X+2 2X+2 0 2X 1 1 X+1 X+2 2X 1 0 2X X+1 2 1 X+1 2 X+1 1 1 X 0 2X+1 2X 2 1 X+1 2X+2 X+2 1 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 1 X+1 2X+2 2X+1 X+2 1 2X+1 1 X+2 2 X X 1 2X 0 1 X+1 X 2X+1 X+2 X 2 1 1 2X 2X+2 X+2 2X+1 2X X+1 2X X 2X+2 2X 1 X 2 2X+2 2X+1 X+1 1 1 1 1 2X+2 2X+2 2X+1 2X+2 2X+2 2 2X+2 0 2X+1 X+2 2X+1 2X+2 0 X+2 0 1 2X+1 2X+1 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 0 0 X 0 X X 2X 0 2X X 0 0 2X X 0 X X X 0 X X 0 2X 0 X X 0 X 0 2X 2X 2X 2X 2X 0 X 2X 0 2X 0 X X 2X 0 0 2X 0 X X 2X X 2X X X 2X 2X 0 2X X X 2X X generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 163. Homogenous weight enumerator: w(x)=1x^0+186x^163+288x^164+86x^165+264x^166+216x^167+60x^168+144x^169+186x^170+26x^171+150x^172+102x^173+30x^174+96x^175+48x^176+4x^177+30x^178+24x^179+18x^180+36x^181+54x^182+4x^183+42x^184+24x^185+4x^186+6x^187+24x^188+6x^190+6x^191+6x^192+12x^193+2x^195+2x^204 The gray image is a linear code over GF(3) with n=255, k=7 and d=163. This code was found by Heurico 1.13 in 51.9 seconds.