The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 X 1 0 2X 1 1 1 2X 1 1 1 1 2X 0 1 1 1 X 1 1 1 0 X 1 2X 1 0 1 1 1 0 1 0 2X 1 2X+1 2 0 X+2 1 2X+2 2X X+1 X+2 X 2 0 1 2X+1 1 X 2X X+1 X+2 1 2X+2 2X+1 1 X 0 1 X+1 2 0 1 2X+1 X 2 2X 1 2X+2 1 X+1 1 2X+1 X+1 2X+1 0 0 1 2X+1 1 2X 2X+2 2 X 1 X+2 X+1 2 1 X+1 X+2 2X+2 X X+2 2X+2 1 2X 1 0 X+2 2 2X+1 2 2X+1 1 2 X+2 2X X X+2 X+1 2X X 1 2X 2X+1 0 0 X+1 X X 2X generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+210x^90+330x^93+54x^96+30x^99+66x^102+18x^105+20x^108 The gray image is a linear code over GF(3) with n=141, k=6 and d=90. This code was found by Heurico 1.16 in 0.0136 seconds.