The generator matrix 1 0 0 1 1 1 1 1 0 1 2X 1 1 1 0 1 X 1 1 2X 1 1 1 1 0 1 1 1 1 2X 2X 1 1 0 1 0 1 0 2 1 2 1 0 1 2X+1 2X+2 2 1 2X 0 2X 2X+1 1 X+1 X+1 X+1 2X 1 2 0 2X 2X+1 1 1 X 0 0 0 1 2 1 2 1 0 2 2 2X+1 2X 2X+1 0 0 X 1 X+1 X+2 2X+1 0 X+1 2X+2 2X+2 2X 2X+2 2X 0 2 X+2 2X+1 2X+1 0 0 0 0 2X 0 0 0 0 0 X 2X X 2X 2X X X X 2X X X X 2X X X 0 2X X 2X 0 0 0 0 0 0 0 0 0 2X 0 X X X X 2X X X 0 X X X X 0 2X 0 0 0 2X 2X 2X 0 0 X X X X 2X 0 0 0 0 0 X X 0 2X 0 X 2X 0 X X X X 2X 2X X 0 X X 0 0 X 2X 2X 0 X 2X X 2X generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+140x^54+54x^55+126x^56+684x^57+270x^58+360x^59+1260x^60+582x^61+672x^62+1966x^63+960x^64+1140x^65+2524x^66+1248x^67+1140x^68+2372x^69+876x^70+732x^71+1404x^72+336x^73+192x^74+454x^75+48x^76+12x^77+92x^78+24x^81+10x^84+2x^87+2x^90 The gray image is a linear code over GF(3) with n=99, k=9 and d=54. This code was found by Heurico 1.16 in 2.38 seconds.