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 X 1 2X X^2 1 X^2 X^2+2X X^2+X 1 1 1 1 2X^2+X 1 1 1 1 1 1 1 1 1 1 1 2X 1 X^2 2X 1 0 1 1 1 1 1 1 1 1 X^2+2X 2X 1 1 1 1 1 1 X^2 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 X+1 2X^2+2X 2X^2+2X+2 1 2X 1 2X^2+2X 2X+1 1 1 X^2+X X+2 X^2+X+2 X 2X^2+2X+2 1 2X+1 2X+2 X^2+1 2X^2+X 1 2 X^2+2X 2X 2X+1 X+1 X 1 2X^2+2 X^2 2X^2+X 2X^2+X+2 1 2X^2+2X 2X^2+2X X^2+X 2X^2+X+1 X^2+2X X^2+X+1 2X^2+2 X^2+2X 1 1 2X^2+2X+2 2X^2+X+2 0 X^2+2X 2X^2 2X^2+2 2X^2+2X X^2+X 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 2X+1 X 2X^2+1 X+1 X^2 X^2+X+1 1 X^2+1 2X X^2+2 1 2X^2+X+1 X^2+1 X^2+2X X^2 2 2X^2+X+2 X^2+2 2X^2+X 2X^2+X+2 X^2+1 2X^2+2X+2 X^2+2X 2X^2+1 2X^2+X X^2+X+1 1 X^2+2X+1 X^2 1 1 2X^2+2X+1 X^2+2X+1 2X+1 2X^2+X+1 2X^2+X 2X X^2+X+2 X^2+2X X 2X^2+X+1 2X^2+1 X X+1 X^2+X+1 2X^2+X+1 X+2 X 2X^2+X+2 1 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 X^2 0 0 2X^2 2X^2 X^2 0 0 X^2 0 0 2X^2 0 X^2 2X^2 2X^2 X^2 2X^2 X^2 0 2X^2 X^2 X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 0 0 0 X^2 0 0 2X^2 X^2 0 0 0 X^2 2X^2 2X^2 0 0 0 X^2 generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 161. Homogenous weight enumerator: w(x)=1x^0+414x^161+920x^162+1890x^163+3288x^164+3276x^165+3540x^166+5178x^167+4444x^168+4422x^169+5676x^170+4274x^171+4194x^172+4524x^173+3346x^174+2904x^175+2982x^176+1638x^177+834x^178+690x^179+268x^180+180x^181+54x^182+30x^183+18x^184+6x^185+8x^186+24x^188+8x^192+6x^194+12x^195 The gray image is a linear code over GF(3) with n=765, k=10 and d=483. This code was found by Heurico 1.16 in 10.6 seconds.