The generator matrix 1 0 1 1 1 X^2 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 X 1 X^2+X 1 X 1 X X^2+X 1 X X 1 1 X^2+X 0 1 1 0 X+1 1 1 0 1 X^2 X+1 1 1 X^2+1 X^2+X X X+1 1 X 1 X^2+1 X^2+1 X^2+X 1 X^2 1 X+1 X 0 1 1 X^2+X+1 1 1 X+1 X+1 1 0 0 X 0 0 X^2 0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2 X^2 0 X^2 0 X^2 X^2+X X^2+X X X^2+X X X 0 X^2 X X^2+X X^2 X X^2+X X^2+X 0 X^2 X^2+X X^2 0 0 0 0 X X^2 X X^2+X X^2+X X^2+X X^2 X X^2 X^2+X X^2 0 X X^2+X 0 X^2 X^2 X^2+X 0 X X^2+X X^2 X^2 X^2 0 0 X X 0 X^2+X 0 X^2+X X^2+X 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+104x^33+106x^34+164x^35+95x^36+144x^37+85x^38+124x^39+78x^40+82x^41+8x^42+12x^43+8x^44+4x^45+1x^46+4x^47+1x^48+2x^49+1x^52 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 0.108 seconds.