The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 X 1 1 1 0 1 1 X 1 1 2X 1 1 X 1 1 1 0 1 1 1 1 1 1 0 2X 0 1 1 1 X 1 1 1 1 1 X 1 1 1 X 1 1 1 1 0 X 1 1 1 1 2X 1 1 1 1 1 1 2X X 1 X 0 1 1 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 0 X+1 1 0 1 2X+1 2 X+1 1 X+2 0 1 X 2X+1 1 0 2X+1 1 2X 2 2X+1 1 2 2X X+1 2X 2X+2 2X 1 1 1 X 2X+1 2X 1 2X+1 X 2X+1 X 0 1 X+1 1 0 1 2X X+1 0 X 1 1 2X X+1 X+1 2X+1 1 X+1 X+1 X+2 2X+2 X+1 2 1 1 1 1 1 0 X+2 X+2 X+2 0 0 2X 0 0 0 0 0 0 0 2X X X X X 0 2X 0 2X X X X 0 X X 2X 2X X 0 2X 2X 0 0 X 2X 2X 2X 0 0 2X X 2X 2X 0 0 X X X 0 0 X 0 X X X X X 0 X 2X 2X 2X X 0 2X 0 0 X 2X 2X X X 2X 0 2X X 2X 0 0 X 2X 2X X 2X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X X 2X X 2X 2X 2X X X 0 0 0 0 0 0 2X X 0 0 2X 0 0 0 2X 2X 2X 2X X X 2X X X 2X 2X X 0 X 2X X 0 0 2X 2X 2X X 2X 0 2X 2X 0 0 X 2X X 0 X X 0 0 0 2X 2X 0 0 X X 2X 0 X 0 0 0 0 0 X 0 X X X X X 2X 0 0 X 0 X 2X 0 2X 0 X 0 X X X 2X 0 0 X 0 X 2X 0 X 0 2X 2X 2X 0 2X 0 2X 0 2X X 2X 0 2X 2X 0 X X 0 2X X 2X X X X 0 2X X X 0 0 0 X 0 X 0 2X 2X 2X 2X 2X X X X 0 0 X 0 0 0 0 0 0 0 2X 2X 0 2X X 0 2X X 2X X 2X 2X 2X 0 X X 0 2X 2X X 2X X 2X X X 2X X 2X 0 2X X 2X X 0 X X 0 0 0 2X 0 2X X X 0 X X 2X X 0 0 0 2X 0 0 0 X 2X 0 2X X X X X 0 0 X X X 2X 2X X 2X 2X 2X X X 2X 2X generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 155. Homogenous weight enumerator: w(x)=1x^0+96x^155+150x^156+438x^158+202x^159+564x^161+212x^162+618x^164+438x^165+576x^167+374x^168+594x^170+258x^171+642x^173+282x^174+492x^176+150x^177+240x^179+22x^180+102x^182+30x^183+6x^185+12x^186+6x^188+10x^189+12x^192+10x^195+6x^198+6x^201+6x^204+2x^207+2x^213+2x^216 The gray image is a linear code over GF(3) with n=252, k=8 and d=155. This code was found by Heurico 1.16 in 8.63 seconds.