The generator matrix 1 0 0 1 1 1 0 1 1 X 1 X 1 X 1 1 1 1 0 1 0 X 1 X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 X 1 0 1 0 0 1 1 1 X X+1 1 0 0 X+1 1 X 0 X X X 1 1 X X+1 1 1 X+1 0 1 X X+1 0 1 0 1 X X X+1 0 X+1 1 X X X+1 0 0 0 0 1 1 X X+1 1 0 X 0 X+1 1 1 1 X 0 1 1 1 0 X 1 1 X+1 1 X 1 X X+1 0 X+1 0 X 1 1 0 X+1 X X+1 X+1 X X+1 0 0 0 0 0 0 X 0 X X X X X 0 X 0 0 0 X 0 X 0 X 0 X X 0 0 0 0 X 0 X X 0 0 X X 0 X X 0 0 X X 0 0 0 generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+15x^42+6x^43+28x^44+30x^45+14x^46+24x^47+3x^48+2x^49+2x^50+2x^55+1x^66 The gray image is a linear code over GF(2) with n=90, k=7 and d=42. This code was found by Heurico 1.10 in 0 seconds.