The generator matrix 1 0 1 1 1 X^2 X 1 1 1 X^2+X 1 1 1 1 1 1 1 1 1 0 0 X X 0 X^2+X X X^2 0 X^2 1 1 X^2+X 1 1 1 1 0 X^2 1 1 0 1 1 X^2+X X^2+X+1 1 1 X+1 X X^2+1 1 X X X^2 X^2 X^2 X+1 X^2+1 X+1 X^2+1 1 1 1 1 1 1 X^2 1 0 1 X^2+X X^2 1 1 X^2+X X^2+X X^2 1 X 0 0 0 0 X 0 X^2+X X X X^2 X X^2 0 X^2+X 0 X^2 X X 0 X^2 X^2+X X^2+X 0 X X^2+X X^2 0 0 X^2+X X X X 0 X X^2 X 0 X^2 X^2+X X^2 0 X^2+X X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+92x^37+124x^38+208x^39+78x^40+136x^41+77x^42+86x^43+72x^44+78x^45+20x^46+20x^47+9x^48+12x^49+2x^50+6x^51+2x^53+1x^58 The gray image is a linear code over GF(2) with n=164, k=10 and d=74. This code was found by Heurico 1.16 in 1.09 seconds.