The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 1 0 1 1 1 1 1 X 1 X 1 1 1 2X 1 X 0 1 1 X 1 1 1 1 1 1 1 1 X 1 1 X 1 2X 1 1 1 1 1 1 2X 1 1 1 X 1 2X 0 1 1 1 1 1 1 1 1 1 1 2X 1 X 1 1 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 2X+1 0 1 2 2X+1 2 X X+1 1 X 1 X+2 2X 2X+1 1 1 1 1 0 2X 1 1 0 2 X 1 X 1 1 1 X+1 X+2 1 1 1 1 2X 2X+1 X+1 2X+2 2X+2 1 2X X+2 X+1 1 2X+2 1 1 2X 2 2 X X 0 X+1 X+1 X 2X+1 1 2X+2 1 1 1 2X+2 0 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X 2X X 0 X X 2X 2X 0 X 2X X 2X 0 0 X 2X X 0 X X 2X X 0 X 2X 2X 2X 2X X 2X 2X 2X 2X 2X 0 X X X X 0 2X X 2X X 0 X 0 X 0 X 0 2X 0 X 0 2X 2X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 0 2X 2X 2X 0 X 0 X X X 0 2X X 2X 0 2X X X X X 2X 2X 0 2X 2X X X 0 0 X 0 2X X X X X 0 0 2X X X 2X 0 2X 2X X 0 0 0 X X X X 0 X X X X 2X 2X X X 0 2X X X 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 0 X 0 0 2X 2X 2X X 2X X 2X 0 X X X 2X 2X X 2X 0 X 0 X 2X 0 0 2X X 2X 0 X 0 X 0 0 X 2X X 0 X 0 X 2X 2X X 0 0 0 2X X X 2X X X 0 0 X 0 2X X X 2X 0 X 0 2X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 0 0 0 X 2X 0 2X 0 2X 2X 2X X X X 2X X 2X 0 X 0 0 X 2X 2X 2X X 0 X X 2X 0 2X X 0 2X 0 0 0 2X 0 X X 2X X 2X 2X 2X X 2X X X 2X 0 2X X X 2X 2X 0 0 2X 0 2X 2X 2X 0 generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 156. Homogenous weight enumerator: w(x)=1x^0+68x^156+204x^158+190x^159+462x^161+258x^162+498x^164+268x^165+594x^167+328x^168+798x^170+354x^171+684x^173+212x^174+564x^176+198x^177+354x^179+134x^180+168x^182+78x^183+42x^185+28x^186+6x^188+18x^189+12x^192+4x^195+12x^198+8x^201+8x^204+4x^207+2x^210+2x^216 The gray image is a linear code over GF(3) with n=255, k=8 and d=156. This code was found by Heurico 1.16 in 1.06 seconds.