The generator matrix 1 0 0 0 0 0 1 1 1 0 1 X 1 1 1 X 1 X 1 0 1 X 0 1 X X 1 X 1 1 X 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 X 1 X+1 1 1 1 X+1 1 X+1 X 1 X 1 1 X+1 1 0 X+1 X 0 1 X+1 1 1 1 X 0 0 1 X 1 X 0 1 1 1 1 X+1 X+1 0 0 1 0 0 0 0 0 X X 1 1 X+1 0 0 X X+1 X+1 X+1 X+1 0 1 X X+1 0 1 X+1 X+1 X+1 X 1 X+1 1 X+1 1 X 1 X X+1 1 X 1 X+1 1 X+1 0 1 X+1 0 X 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 0 X+1 1 X X+1 0 X+1 1 1 0 X 1 0 X+1 0 X+1 0 X X 1 1 X+1 0 X X 1 0 X 1 X+1 X X X 1 X X 1 1 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 X 1 1 0 X 1 1 0 0 1 X+1 X 1 X 0 X X+1 1 X+1 1 X+1 1 X X+1 1 1 1 X+1 X 1 1 X 0 X X X+1 X+1 X 0 0 0 0 0 1 1 X 1 1 X+1 X 1 1 X+1 0 0 0 1 1 X X+1 X+1 X X+1 X X+1 1 X 0 1 X X X+1 X+1 X X+1 X 0 X X X 0 X+1 X+1 X 1 1 X 0 X+1 generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+122x^42+400x^44+510x^46+561x^48+504x^50+496x^52+508x^54+473x^56+294x^58+158x^60+46x^62+20x^64+2x^68+1x^72 The gray image is a linear code over GF(2) with n=102, k=12 and d=42. This code was found by Heurico 1.16 in 1.62 seconds.