The generator matrix 1 0 1 1 1 1 1 0 1 1 1 1 0 1 1 X 1 1 1 1 0 1 1 X 1 1 X 1 1 2X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 0 2X+1 2 1 0 2X+1 2 2X+1 1 X X+2 1 0 X 2 2X+1 1 X+1 X+2 1 X X+2 1 X X+2 1 2X 2X+2 1 X+1 2X+1 X+1 X+1 0 0 X 2X 2X+1 1 1 1 1 2X+1 1 0 0 2X 0 X 2X X 0 2X X 0 0 2X X 2X X 0 2X X X X 0 2X 2X 2X X 2X X 0 0 0 2X X X 2X 0 X 0 X X 0 2X 2X 0 0 X 0 2X 0 0 0 X X 2X 2X X 0 0 2X 0 X 0 X X X X X 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X X X X 2X 2X 2X X X 0 X 2X 0 X X 2X generates a code of length 48 over Z3[X]/(X^2) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+36x^91+66x^92+242x^93+48x^94+42x^95+28x^96+48x^97+16x^99+42x^101+112x^102+24x^103+12x^104+2x^105+6x^106+4x^117 The gray image is a linear code over GF(3) with n=144, k=6 and d=91. This code was found by Heurico 1.16 in 0.0823 seconds.