The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 1 1 0 2X 1 1 1 1 1 2X 1 1 1 2X 1 X 1 2X 1 2X 1 2X 1 1 0 1 1 1 1 1 X 1 1 X 0 1 0 0 X 2X+1 2X+1 1 2X+2 2 2 1 0 X X+1 X+1 1 1 1 2X+2 2X+2 X+2 X+2 1 2X 0 2X+2 1 2X 1 2X 1 2 2X 2X+1 X X+1 X+2 1 2X+2 1 2X 2X+2 0 0 X+2 X+1 1 0 0 1 1 2X+2 2X X+2 X+1 2X+1 2 0 0 1 2X+2 2X 1 2X+1 2 2 2X+1 X 0 2 2X+2 X+1 X 2X+2 2X 2X+2 1 X+2 2X+1 0 1 2X 1 X 2X X+2 2X 2X+2 2 2X 0 1 0 2 2X+1 0 0 0 2X 2X 0 2X 2X X X 2X 2X X X X 0 X 0 X 0 X 0 2X X X 2X 0 2X X X 0 2X X 0 X X 2X 2X 0 2X 0 0 X X 0 2X 2X X generates a code of length 48 over Z3[X]/(X^2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+492x^90+546x^93+378x^96+324x^99+222x^102+144x^105+52x^108+24x^111+2x^117+2x^126 The gray image is a linear code over GF(3) with n=144, k=7 and d=90. This code was found by Heurico 1.13 in 31.8 seconds.