The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 X 1 1 1 1 0 1 1 2X 1 1 1 X 1 1 1 1 1 1 X 1 1 1 0 X 1 1 1 1 1 1 1 1 2X 1 1 1 X 2X 0 1 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 0 1 1 2 0 2X+1 2 1 0 2X+1 2 1 X+2 X 2X+1 1 0 X+1 2X 2 1 2X+1 2X+2 1 X X+1 X+2 1 2 X+2 X 1 0 1 1 X+2 X 1 1 1 X X 0 X 2X+2 2X+2 2X+2 2X+1 1 X+1 1 2X+1 1 1 1 X+1 2X 1 X+2 X+2 2 X+2 2 X+2 2 2X+2 2 X+2 2X+2 0 2X+1 1 2X 1 1 2X+2 0 0 2X 0 X 2X X 0 2X X 0 2X 2X X 0 X 0 X 2X X X 0 2X 2X 0 0 2X 0 X X 0 X 2X X 2X 0 X 2X X 2X 2X 2X X X X 2X 0 X X 2X 0 2X 0 2X 0 0 0 X 2X 0 0 X 2X X 2X 0 2X 0 X X 0 X 0 2X 0 X 0 0 0 X X 2X 2X X 0 0 2X 0 2X 0 2X 0 X 2X X X X 0 X X 2X X 0 2X 0 2X 0 2X 2X X 2X 0 2X X 2X 0 0 X 2X X X 0 0 X 0 X 0 0 X 2X 2X 2X 2X X X 2X 0 0 X X 2X 2X 0 X 2X 0 X 2X X 2X 0 0 generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 148. Homogenous weight enumerator: w(x)=1x^0+198x^148+114x^150+126x^151+96x^153+18x^156+126x^157+6x^159+36x^160+2x^162+6x^177 The gray image is a linear code over GF(3) with n=228, k=6 and d=148. This code was found by Heurico 1.16 in 36.2 seconds.