The generator matrix 1 0 0 0 1 1 1 1 X 1 1 1 0 X 1 2X 1 0 2X 1 1 1 1 1 X 1 1 1 2X 1 1 1 1 0 1 0 0 0 X 1 X+1 1 2X 2 2X+2 1 1 2X+1 1 2 2X 1 0 X 2X+1 X+1 2X+1 1 2 2X+2 X+2 1 2X+1 2X 2X X+1 0 0 1 0 0 2X+1 1 2X+2 2X+1 2X+1 X X+2 0 2X+2 X+2 X+2 2X+2 1 1 2 2 2X 2 X+1 2 1 0 X+2 2X 0 2X 2X+2 2 0 0 0 1 1 2X+1 X X+1 X+1 2X+2 X+2 2X+1 X+2 X+1 2X+2 0 2X X+1 2X+2 X+1 2X X+2 X X+1 2X+1 X+2 X X+2 2X X+1 0 2 2X+1 0 0 0 0 2X 0 0 0 0 2X 2X 2X 2X X X 2X X 2X 2X 0 2X 2X X X 0 X X 2X 2X 0 2X X X generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+492x^56+370x^57+1332x^59+884x^60+2094x^62+1102x^63+2940x^65+1626x^66+2982x^68+1442x^69+2352x^71+904x^72+798x^74+192x^75+132x^77+32x^78+8x^84 The gray image is a linear code over GF(3) with n=99, k=9 and d=56. This code was found by Heurico 1.16 in 85.1 seconds.