The generator matrix 1 0 1 1 1 X^2 X 1 1 1 1 0 1 1 X^2 1 1 X^2 X^2+X 1 1 1 1 0 0 0 1 1 1 1 X X 0 X 1 1 1 0 1 1 X^2+X X^2+X+1 1 1 X^2 X^2+1 X X+1 1 X^2+X X^2+X+1 1 X^2 X+1 1 1 0 X^2+1 X 1 1 X X X^2 X X 0 X^2+X 1 X X X^2 0 0 0 0 X 0 X^2+X X X^2+X X X^2 X^2+X 0 X^2 X^2 X X X 0 X^2 X^2+X X^2 X^2 X^2+X X^2+X 0 X^2+X X X^2 X^2 X^2 X^2 X^2 X X^2 X^2 X^2+X X^2+X X 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+106x^33+113x^34+152x^35+108x^36+154x^37+75x^38+152x^39+48x^40+46x^41+17x^42+12x^43+16x^44+14x^45+1x^46+3x^48+2x^50+4x^51 The gray image is a linear code over GF(2) with n=148, k=10 and d=66. This code was found by Heurico 1.16 in 71.7 seconds.