The generator matrix 1 0 0 1 1 1 1 1 1 1 2X^2 1 2X^2+X 1 1 1 X^2+X 1 1 1 X^2 1 2X^2+X 1 2X^2+2X 1 1 X 2X^2+X 1 1 1 1 1 1 1 1 1 2X 1 2X^2+2X 1 1 X^2+2X X^2 1 1 2X^2+2X 1 1 1 1 1 1 1 X^2+X 1 X 1 X^2+X 1 0 1 X 1 1 1 1 X^2+2X 1 1 1 1 1 2X^2 1 1 1 1 2X^2+2X 2X^2+X 1 1 1 1 1 0 1 0 0 X^2 2X^2+2X+1 2X+1 X+2 2X^2+X+1 X^2+X+2 1 2 1 2X^2+X 2X^2+2X+2 X^2+2X+1 1 2X+2 X^2+2X+1 2X^2+1 1 2X^2+X+2 2X^2+2X 2X^2 1 2X 2X^2 1 1 2X^2+2 X 2X+2 1 2X^2+1 2X^2+2X 2X+1 2X^2+2X+2 2X 1 X+1 X^2 X X^2+X+1 1 X^2+X 0 X+2 1 2X^2+2X X^2+2 2 X^2+1 X^2+1 2X^2+2X 2X^2+X+1 X^2+X 2X^2+2 1 X+1 1 2X+2 1 X^2+2X 1 2X^2+2 2X^2+2X+2 0 2X^2+2X+2 1 X^2+2 1 X+1 2X+2 X 1 2X^2+X 2X 0 1 1 1 X^2+2X X^2+2 X^2+X+1 X 2X^2 0 0 1 2X^2+2X+1 2X^2+2 X^2+2 2X+1 X^2+X 2X^2+X X^2+X+2 2X^2+1 X+1 2X^2+2X+2 2X^2 2X^2+2X+1 X^2+2X 2X^2+1 2X X^2+2X+2 2X^2+X+1 2X^2+X+2 2X^2+2 1 X+1 0 2 X+2 X+2 2X^2 2X X^2+X+1 2X^2+2X+2 2X^2+2X X^2+2X+2 X X^2+1 2X^2+1 X^2 X^2+X+1 2X+1 1 X^2+2 2 2X^2+1 1 X 2X^2+2X 2X X+1 0 2X^2+2X+1 2X^2+X 2X^2+1 2X^2+1 X^2 1 2X^2+2X+2 2X^2 2 2X^2+1 X^2+X+1 X^2+2X+2 2X^2+X+2 X^2+2X 2X^2+2X+2 2X+2 2X^2+X X+2 X^2+2X+2 1 X^2+2X+1 X^2+2X X^2 2 0 1 2X^2+X+2 X+1 2X^2+2X X^2+X 2X^2+2X+2 0 2X 2X^2+X 1 X^2+X+2 0 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 2X^2 0 2X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 2X^2 0 2X^2 0 X^2 2X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 2X^2 2X^2 X^2 X^2 0 X^2 0 2X^2 0 0 2X^2 0 2X^2 X^2 2X^2 0 X^2 0 0 2X^2 0 2X^2 2X^2 0 0 X^2 X^2 X^2 2X^2 X^2 X^2 X^2 X^2 0 0 X^2 2X^2 2X^2 0 2X^2 X^2 2X^2 X^2 X^2 0 2X^2 X^2 2X^2 X^2 generates a code of length 86 over Z3[X]/(X^3) who´s minimum homogenous weight is 163. Homogenous weight enumerator: w(x)=1x^0+546x^163+1182x^164+1678x^165+2904x^166+3426x^167+3624x^168+4746x^169+4770x^170+4404x^171+5226x^172+4890x^173+4440x^174+4806x^175+3324x^176+2508x^177+2292x^178+1968x^179+890x^180+738x^181+282x^182+174x^183+84x^184+42x^185+12x^186+18x^187+12x^188+6x^190+18x^191+18x^193+12x^194+6x^195+2x^201 The gray image is a linear code over GF(3) with n=774, k=10 and d=489. This code was found by Heurico 1.16 in 10.3 seconds.