The generator matrix 1 0 0 1 1 1 1 1 1 2X^2 1 1 2X^2+X 1 1 1 X 2X^2+X 1 1 X^2+X 1 1 2X^2 1 1 1 2X 2X^2+2X 1 1 X^2 1 1 1 1 1 X^2 2X^2 1 1 X^2+2X 1 1 1 X^2+2X 1 1 1 1 2X^2+2X X 1 1 X^2+X 1 1 1 X^2+X 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X^2+2X X^2 2X^2+X 2X^2+X 1 1 2X^2 1 2X^2+2X 1 1 1 1 0 1 0 2X^2 1 2X^2+1 2X^2+2 X 2 1 2X^2+2X+1 2X^2+2X+2 1 X^2 2X^2+X+2 X^2+2X+1 1 2X X^2+2X+2 2X 1 X^2+X X+2 1 X+1 2X^2+X+1 2X^2+1 1 1 2X^2+X X^2+2X 1 2X^2+2X X+2 2X+1 2X+2 2X^2 1 X^2+2X X^2+X+1 2X^2+X+2 2X 2X^2+X 2X X^2+X 1 2 2X^2+X+1 X+1 X^2+2X+1 1 1 X^2+2 2X+1 0 2 X^2+2X 1 1 2 1 2X^2+X+2 X^2+X+2 2X^2+1 2X^2+2 X^2+2X+1 X+2 X^2+2X 2X^2+2 X+2 X^2+X X^2+X+1 2X+2 X^2 2X 2X^2+2X+2 2X^2+X X^2+1 1 1 1 1 2X+2 X^2+2X+1 0 2X^2+2X+2 1 2X^2+1 2X^2+2X+2 2X^2+2 0 0 0 1 2X^2+2X+1 2X+1 2X^2 X^2+X+2 X+2 X^2+2X 2X^2+1 2X^2+2X+2 2X^2+1 2X^2+2 X^2+X 2X^2+X+2 X^2 X^2+1 1 2X^2+2X 2X+2 0 X^2+1 2X^2+2X+1 X^2+2X+2 2X^2+X 1 2X+2 X^2+1 2X^2+2 X+1 2X^2+2 X^2+X X^2+2X X^2+X+1 X^2+1 2X^2+X+2 2X^2+1 X^2+X+1 1 X^2 X^2+2X+2 1 X^2+2X+1 2X^2+X X^2+2 X^2+X X^2+X 2X^2+X+1 2X 2 X^2+X+1 X^2+2X+2 2X^2+2X+1 X^2+2X+1 1 X^2+2X+2 X+1 X^2+X+2 X+1 2 2X^2 2X^2+1 0 2X^2+2X 2X^2 X^2+X+1 X^2+X X^2+1 1 X^2+2X X^2 2X+1 X+1 X^2+2X X^2+X+2 X 2X+1 2X^2+X 2X^2+2X+1 2 2X^2+2X+1 2X^2+X+2 2X^2+2X+2 2X^2+1 1 2X^2 X^2+1 X 1 X^2+X+1 2X^2+X generates a code of length 91 over Z3[X]/(X^3) who´s minimum homogenous weight is 175. Homogenous weight enumerator: w(x)=1x^0+474x^175+612x^176+1620x^177+2520x^178+1626x^179+1452x^180+1896x^181+1272x^182+1378x^183+1590x^184+864x^185+1090x^186+1002x^187+498x^188+524x^189+522x^190+258x^191+162x^192+240x^193+54x^194+8x^195+6x^196+12x^199+2x^210 The gray image is a linear code over GF(3) with n=819, k=9 and d=525. This code was found by Heurico 1.16 in 1.43 seconds.