The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 1 0 1 1 1 2X 1 1 1 2X^2+X 1 1 1 1 1 1 X^2 X^2+X 1 1 1 X^2+2X 1 1 1 1 X^2 1 1 X 1 1 1 X^2+2X 1 1 1 X^2+X 1 1 1 X 1 1 1 1 0 X^2 1 1 1 1 1 1 1 1 2X X^2+2X 1 1 1 1 1 1 1 1 1 2X^2 X^2+X 2X^2+2X X 2X^2 2X^2 2X^2+X X^2 2X^2+2X 2X 0 1 2X^2+2X+1 2 X+1 2X^2+X 2X^2+X+2 1 2X 2X^2+1 2X+2 1 0 2X^2+2X+1 2 1 2X X+1 2X^2+X+2 1 2X^2+X 2X^2+1 2X+2 1 X^2 X^2+X X^2+2X+1 X^2+X+1 X^2+2 X^2+2X+2 1 1 X^2+2X X^2+1 X^2+X+2 1 X^2 X^2+2X+1 X^2+2 X^2+X 1 X^2+X+1 X^2+X+2 1 X^2+2X X^2+1 X^2+2X+2 1 X^2+X+1 2X^2+X X^2+2 1 X^2+X X+1 2 1 X^2 0 X^2+2X+1 2X^2+2X+1 1 1 X^2+X+2 2X^2+X+2 2X^2+1 X^2+1 2X X^2+2X 2X+2 X^2+2X+2 1 1 2X^2 2X^2 X X 2X^2 X 2X^2+2X 2X^2+2X 2X^2+2X 1 1 1 1 1 1 1 0 1 1 0 0 2X^2 0 X^2 2X^2 X^2 X^2 X^2 0 2X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 0 0 0 0 2X^2 X^2 2X^2 2X^2 X^2 0 2X^2 X^2 0 2X^2 0 0 X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 0 0 0 2X^2 0 2X^2 0 X^2 X^2 0 X^2 0 2X^2 X^2 2X^2 0 2X^2 2X^2 0 2X^2 0 X^2 2X^2 X^2 2X^2 0 X^2 0 X^2 X^2 2X^2 0 X^2 2X^2 X^2 2X^2 0 0 X^2 2X^2 0 2X^2 0 X^2 X^2 2X^2 0 X^2 X^2 0 generates a code of length 91 over Z3[X]/(X^3) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+990x^180+1026x^183+54x^186+112x^189+4x^216 The gray image is a linear code over GF(3) with n=819, k=7 and d=540. This code was found by Heurico 1.16 in 0.646 seconds.