The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X 1 1 X 1 1 1 1 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 X 0 X X X 0 X X X X X X 0 X 0 X 0 0 X X X X 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X 0 X X X 0 X X X X 0 X X 0 X X X X X X 0 X 0 0 0 0 X 0 0 0 X X X X X X X 0 0 X 0 0 X X X X 0 X X 0 X X 0 X X 0 0 0 X 0 0 0 0 0 X 0 X X X 0 0 0 0 0 0 0 X 0 X X X X 0 X X X 0 0 0 X 0 X X X X X X 0 0 0 0 0 X X 0 X X 0 0 X X X X X 0 X X 0 0 0 X 0 0 X 0 X 0 X 0 X 0 0 X 0 generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+12x^33+15x^34+15x^36+40x^37+15x^38+15x^40+12x^41+1x^42+1x^44+1x^62 The gray image is a linear code over GF(2) with n=74, k=7 and d=33. This code was found by Heurico 1.16 in 0.094 seconds.