The generator matrix 1 0 1 1 1 1 1 0 1 1 1 X 1 1 1 X 1 1 1 1 1 1 0 X 1 1 1 1 1 1 1 1 1 2X 2X 2X 1 1 1 1 1 1 1 1 X 1 1 0 1 1 2 2X+1 0 2 1 X 2X+1 X+2 1 X X+1 X+2 1 X+1 0 X 1 2 X+2 1 1 2X 2X 2X 2X+1 X+1 1 2X+2 2X+2 2X+2 1 1 1 0 0 X X 0 2X+1 2 2X+1 2X X+2 X 0 0 2X 0 X X 2X 2X 2X 0 X X X 2X 2X 2X X 2X 0 0 X 0 X 0 0 X 2X 2X 0 X 0 X 2X 0 X 2X 0 X 2X X 2X 2X X X X 2X 0 generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+36x^91+48x^92+10x^93+36x^94+54x^95+8x^96+36x^97+2x^99+6x^101+4x^105+2x^111 The gray image is a linear code over GF(3) with n=141, k=5 and d=91. This code was found by Heurico 1.16 in 0.0118 seconds.