The generator matrix 1 0 0 1 1 1 X^2+X X X^2 1 1 1 1 X^2+X 1 0 1 1 1 1 1 0 X^2 X^2+X X^2 1 1 1 X^2 1 1 X 1 X^2 1 X^2+X 1 1 1 X^2+X X 0 1 0 0 1 X+1 1 0 1 X+1 X^2 X^2+1 X^2 1 X 1 X^2+X X^2+1 X^2+X X^2+X+1 X+1 X^2+X X^2+X 1 1 X+1 X X+1 1 0 1 1 X^2+X+1 1 X 1 X^2+X X+1 X^2 1 X^2 0 0 1 1 1 X^2 1 1 1 X^2+X+1 X^2+X+1 X X 0 X^2 X^2+X X+1 X^2+X X+1 X^2+X+1 X^2 1 1 X X^2+1 X+1 0 X X^2 X^2+X X^2+X X+1 X^2+X X^2+1 1 0 X+1 X^2+1 1 X 1 0 0 0 X X^2+X 0 X X X^2 X^2 X^2 X^2+X 0 X^2 X X^2+X X^2 X^2 X X X^2+X X 0 X X 0 X X X^2+X X^2+X X 0 0 X^2 X^2+X X^2 X^2+X X^2+X X^2 0 X 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+398x^36+752x^38+1022x^40+872x^42+604x^44+288x^46+137x^48+8x^50+14x^52 The gray image is a linear code over GF(2) with n=164, k=12 and d=72. This code was found by Heurico 1.16 in 57.3 seconds.